Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136x |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
50176 = 210 · 72 |
Discriminant |
Eigenvalues |
2- -1 3 7- -3 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
3.2944622590021 |
L(r)(E,1)/r! |
Ω |
2.9321029882411 |
Real period |
R |
1.1235834048852 |
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 |
3136f1 784i1 28224gh1 78400hl1 |
Quadratic twists by: -4 8 -3 5 |