Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290eq |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
296450 = 2 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85,265] |
[a1,a2,a3,a4,a6] |
Generators |
[14:79:8] |
Generators of the group modulo torsion |
j |
11463529/50 |
j-invariant |
L |
14.893748031117 |
L(r)(E,1)/r! |
Ω |
3.0884921475548 |
Real period |
R |
2.411168188189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290co1 59290cc1 |
Quadratic twists by: -7 -11 |