Atkin-Lehner |
2+ 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97526f |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-7660189400754176 = -1 · 211 · 116 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ -3 1 3 11- 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38516,3034576] |
[a1,a2,a3,a4,a6] |
j |
3566849562639/4323977216 |
j-invariant |
L |
1.1156611142491 |
L(r)(E,1)/r! |
Ω |
0.2789152725607 |
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 |
806d1 |
Quadratic twists by: -11 |