Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35322s |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
1559198135376 = 24 · 39 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 6 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3382,45752] |
[a1,a2,a3,a4,a6] |
j |
6045996937/2204496 |
j-invariant |
L |
4.6473678020128 |
L(r)(E,1)/r! |
Ω |
0.7745613003364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105966cm1 35322w1 |
Quadratic twists by: -3 29 |