Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248bk |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83712 |
Modular degree for the optimal curve |
Δ |
-3302539264 = -1 · 214 · 19 · 1032 |
Discriminant |
Eigenvalues |
2- 2 3 -5 3 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149,-2803] |
[a1,a2,a3,a4,a6] |
Generators |
[1354776:13217887:13824] |
Generators of the group modulo torsion |
j |
-22478848/201571 |
j-invariant |
L |
10.421942470515 |
L(r)(E,1)/r! |
Ω |
0.59787668284696 |
Real period |
R |
8.7157960646098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248m1 31312n1 |
Quadratic twists by: -4 8 |