Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50700i |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
23860123589250000 = 24 · 32 · 56 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73233,-1694538] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:2300:1] |
Generators of the group modulo torsion |
j |
16384/9 |
j-invariant |
L |
2.5503427150482 |
L(r)(E,1)/r! |
Ω |
0.31028436924608 |
Real period |
R |
4.1096860941196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2028f1 50700h1 |
Quadratic twists by: 5 13 |