Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928r |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-7700410368 = -1 · 212 · 33 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276,4576] |
[a1,a2,a3,a4,a6] |
Generators |
[6:56:1] |
Generators of the group modulo torsion |
j |
-21024576/69629 |
j-invariant |
L |
6.5268113995035 |
L(r)(E,1)/r! |
Ω |
1.155462055534 |
Real period |
R |
0.70608240819368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999287872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928j1 58464s1 116928m1 |
Quadratic twists by: -4 8 -3 |