Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36100h |
Isogeny class |
Conductor |
36100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-3575486956000000 = -1 · 28 · 56 · 197 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 5 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192533,32707937] |
[a1,a2,a3,a4,a6] |
Generators |
[127496:193857:512] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
9.6934286851489 |
L(r)(E,1)/r! |
Ω |
0.44634288887353 |
Real period |
R |
5.4293621153083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1444c1 1900b1 |
Quadratic twists by: 5 -19 |