Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290bc |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5575680 |
Modular degree for the optimal curve |
Δ |
-9038528303891609600 = -1 · 211 · 52 · 77 · 118 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 11- 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13765285,-19654484459] |
[a1,a2,a3,a4,a6] |
Generators |
[6383:387336:1] |
Generators of the group modulo torsion |
j |
-11437987859001/358400 |
j-invariant |
L |
2.3743459712628 |
L(r)(E,1)/r! |
Ω |
0.039189745139497 |
Real period |
R |
5.0488249811854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470p1 59290dm1 |
Quadratic twists by: -7 -11 |