Atkin-Lehner |
2+ 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670c |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
5313928671355207680 = 218 · 33 · 5 · 79 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3531063,-2552976747] |
[a1,a2,a3,a4,a6] |
j |
120658505752342207/131684106240 |
j-invariant |
L |
1.9825499538164 |
L(r)(E,1)/r! |
Ω |
0.11014166327341 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670bc1 |
Quadratic twists by: -7 |