Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55696m |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3445687844864 = -1 · 224 · 593 |
Discriminant |
Eigenvalues |
2- 1 3 -1 -6 -6 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2616,73844] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:118:1] [670:17408:1] |
Generators of the group modulo torsion |
j |
2352637/4096 |
j-invariant |
L |
12.055898038518 |
L(r)(E,1)/r! |
Ω |
0.54293597259898 |
Real period |
R |
2.7756260974966 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962a1 55696l1 |
Quadratic twists by: -4 -59 |