Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cs |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
21703836701250000 = 24 · 34 · 57 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-397283,-95989188] |
[a1,a2,a3,a4,a6] |
Generators |
[741:3993:1] |
Generators of the group modulo torsion |
j |
15657723904/49005 |
j-invariant |
L |
4.6615269821482 |
L(r)(E,1)/r! |
Ω |
0.19019810455159 |
Real period |
R |
3.0635997882381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520q1 6600c1 |
Quadratic twists by: 5 -11 |