Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83104m |
Isogeny class |
Conductor |
83104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126336 |
Modular degree for the optimal curve |
Δ |
958156044608 = 26 · 710 · 53 |
Discriminant |
Eigenvalues |
2- -2 2 7- 3 -1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5602,152508] |
[a1,a2,a3,a4,a6] |
Generators |
[34:50:1] |
Generators of the group modulo torsion |
j |
1075648/53 |
j-invariant |
L |
5.9728266043802 |
L(r)(E,1)/r! |
Ω |
0.87040722286881 |
Real period |
R |
3.4310529841916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83104k1 83104h1 |
Quadratic twists by: -4 -7 |