Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37620l |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
192652866450000 = 24 · 36 · 55 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16272,438561] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:1045:1] |
Generators of the group modulo torsion |
j |
40850653446144/16516878125 |
j-invariant |
L |
6.2191841478596 |
L(r)(E,1)/r! |
Ω |
0.5140021873599 |
Real period |
R |
0.20165880939804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4180a1 |
Quadratic twists by: -3 |