Atkin-Lehner |
2+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680n |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-55407973040 = -1 · 24 · 5 · 77 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,98,11319] |
[a1,a2,a3,a4,a6] |
j |
55296/29435 |
j-invariant |
L |
3.479985784731 |
L(r)(E,1)/r! |
Ω |
0.86999622174724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56840h1 16240b1 |
Quadratic twists by: -4 -7 |