Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83104k |
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 |
[236973:2811558:1331] |
Generators of the group modulo torsion |
j |
1075648/53 |
j-invariant |
L |
11.282828846934 |
L(r)(E,1)/r! |
Ω |
0.55351995468717 |
Real period |
R |
10.191889878333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83104m1 83104i1 |
Quadratic twists by: -4 -7 |