Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10656a |
Isogeny class |
Conductor |
10656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-700227072 = -1 · 29 · 33 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -3 3 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-1098] |
[a1,a2,a3,a4,a6] |
Generators |
[9:30:1] |
Generators of the group modulo torsion |
j |
22425768/50653 |
j-invariant |
L |
5.5456777666987 |
L(r)(E,1)/r! |
Ω |
0.83407423288125 |
Real period |
R |
1.6622254794821 |
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 |
10656b1 21312bl1 10656i1 |
Quadratic twists by: -4 8 -3 |