Atkin-Lehner |
2+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7462a |
Isogeny class |
Conductor |
7462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
232911406 = 2 · 75 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ -2 13+ -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-822,-9102] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:91:8] |
Generators of the group modulo torsion |
j |
61316796395737/232911406 |
j-invariant |
L |
4.0696902274247 |
L(r)(E,1)/r! |
Ω |
0.89195743109805 |
Real period |
R |
2.2813253668478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59696q1 67158bo1 52234t1 97006r1 |
Quadratic twists by: -4 -3 -7 13 |