Atkin-Lehner |
2+ 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830z |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39755520 |
Modular degree for the optimal curve |
Δ |
1987948707840 = 217 · 37 · 5 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 4 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2699953650,-53997934523180] |
[a1,a2,a3,a4,a6] |
Generators |
[-891117000217516604293389541409686078132844340979980261573712973691608866125291689543230778705663043481191427941:445558693848258996039433522905662658376417768558560239911426479607371313635560156863224828351499034943850994762:29704402505915803926418813654702762440770343617006227689042233259583423160603821377730021962212440406062843] |
Generators of the group modulo torsion |
j |
2985830225085902224288474778401/2726952960 |
j-invariant |
L |
6.8748572733718 |
L(r)(E,1)/r! |
Ω |
0.020944040908989 |
Real period |
R |
164.12442334423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41610be1 |
Quadratic twists by: -3 |