Atkin-Lehner |
2+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3136b |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
5903156224 = 210 · 78 |
Discriminant |
Eigenvalues |
2+ -1 -3 7+ 3 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,-559] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:49:1] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
2.3246761005324 |
L(r)(E,1)/r! |
Ω |
1.1082307607593 |
Real period |
R |
0.69921541699482 |
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 |
3136o1 196b1 28224bf1 78400c1 |
Quadratic twists by: -4 8 -3 5 |