Atkin-Lehner |
2- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7714f |
Isogeny class |
Conductor |
7714 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-346348487131136 = -1 · 214 · 74 · 192 · 293 |
Discriminant |
Eigenvalues |
2- -3 1 7- 1 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72552,7593003] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:3923:1] |
Generators of the group modulo torsion |
j |
-42234393984440290641/346348487131136 |
j-invariant |
L |
4.3249908510259 |
L(r)(E,1)/r! |
Ω |
0.54221977195471 |
Real period |
R |
0.023739445232752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61712g1 69426t1 53998p1 |
Quadratic twists by: -4 -3 -7 |