Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608bl |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-283707297792 = -1 · 212 · 311 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -1 -7 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3900,97184] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:324:1] |
Generators of the group modulo torsion |
j |
-2197000000/95013 |
j-invariant |
L |
7.0222546758255 |
L(r)(E,1)/r! |
Ω |
0.96674759081391 |
Real period |
R |
0.45398708160354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608l1 37536a1 |
Quadratic twists by: -4 -3 |