Atkin-Lehner |
2+ 3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650bf |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
3145312500 = 22 · 3 · 58 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-701,6548] |
[a1,a2,a3,a4,a6] |
j |
97325545/8052 |
j-invariant |
L |
2.7719080817984 |
L(r)(E,1)/r! |
Ω |
1.3859540840413 |
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 |
100650bs1 |
Quadratic twists by: 5 |