Atkin-Lehner |
3+ 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
98475f |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
23779427572265625 = 32 · 59 · 13 · 1014 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92625,-7956000] |
[a1,a2,a3,a4,a6] |
j |
5624652228034321/1521883364625 |
j-invariant |
L |
1.1168402650465 |
L(r)(E,1)/r! |
Ω |
0.27920999944422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19695c1 |
Quadratic twists by: 5 |