Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680o |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-308640140384172800 = -1 · 28 · 52 · 711 · 293 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -2 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62785,27385483] |
[a1,a2,a3,a4,a6] |
j |
-908803769344/10247648075 |
j-invariant |
L |
3.1265350191728 |
L(r)(E,1)/r! |
Ω |
0.2605445982422 |
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 |
56840o1 16240f1 |
Quadratic twists by: -4 -7 |