Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680q |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-26213703107200000 = -1 · 210 · 55 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -5 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,7790000] |
[a1,a2,a3,a4,a6] |
j |
-196/90625 |
j-invariant |
L |
2.9939483594346 |
L(r)(E,1)/r! |
Ω |
0.29939485484476 |
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 |
56840q1 113680b1 |
Quadratic twists by: -4 -7 |