Atkin-Lehner |
2+ 3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110p |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-4014511875000 = -1 · 23 · 38 · 57 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3150,67500] |
[a1,a2,a3,a4,a6] |
Generators |
[33:438:1] |
Generators of the group modulo torsion |
j |
4740785330399/5506875000 |
j-invariant |
L |
3.5004209792109 |
L(r)(E,1)/r! |
Ω |
0.5217334024159 |
Real period |
R |
3.3546069292269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370bl1 |
Quadratic twists by: -3 |