Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850t |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
1.0276295215723E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59502151,-176667897802] |
[a1,a2,a3,a4,a6] |
Generators |
[-120066:67007:27] |
Generators of the group modulo torsion |
j |
1491082498849111837358689/6576828938062500 |
j-invariant |
L |
3.8440179038072 |
L(r)(E,1)/r! |
Ω |
0.054358379841807 |
Real period |
R |
4.4197623140871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770s1 |
Quadratic twists by: 5 |