Atkin-Lehner |
2- 3- 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
118404j |
Isogeny class |
Conductor |
118404 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-181034506224 = -1 · 24 · 37 · 113 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8121,-282427] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2743:1] |
Generators of the group modulo torsion |
j |
-5078140734208/15520791 |
j-invariant |
L |
8.6359096532828 |
L(r)(E,1)/r! |
Ω |
0.25141297814449 |
Real period |
R |
4.2936872864414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39468f1 |
Quadratic twists by: -3 |