Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290h |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
251640844824255040 = 26 · 5 · 79 · 117 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-158230,2136756] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:5246:1] |
Generators of the group modulo torsion |
j |
6128487/3520 |
j-invariant |
L |
3.3151487034029 |
L(r)(E,1)/r! |
Ω |
0.26608381135456 |
Real period |
R |
6.2295197259251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59290bp1 5390z1 |
Quadratic twists by: -7 -11 |