Atkin-Lehner |
5- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59675t |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-2779959875 = -1 · 53 · 72 · 114 · 31 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 11- 2 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-253,3058] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:381:8] [8:-39:1] |
Generators of the group modulo torsion |
j |
-14384365568/22239679 |
j-invariant |
L |
7.0609487646893 |
L(r)(E,1)/r! |
Ω |
1.2874078563761 |
Real period |
R |
0.34278903581898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59675m1 |
Quadratic twists by: 5 |