Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3520l |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
15488000 = 210 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152,-696] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] |
Generators of the group modulo torsion |
j |
379275264/15125 |
j-invariant |
L |
3.4477322179159 |
L(r)(E,1)/r! |
Ω |
1.3630289409666 |
Real period |
R |
0.8431545641457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3520bc1 440a1 31680j1 17600l1 |
Quadratic twists by: -4 8 -3 5 |