Atkin-Lehner |
3+ 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116571a |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
3951360 |
Modular degree for the optimal curve |
Δ |
-5361964012953384291 = -1 · 35 · 78 · 137 · 61 |
Discriminant |
Eigenvalues |
0 3+ -3 7+ -2 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8623477,-9744779850] |
[a1,a2,a3,a4,a6] |
j |
-12302310116455088128/930121267491 |
j-invariant |
L |
0.92505234365726 |
L(r)(E,1)/r! |
Ω |
0.044050108500396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116571n1 |
Quadratic twists by: -7 |