Atkin-Lehner |
2- 3- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94860k |
Isogeny class |
Conductor |
94860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-52092909702000 = -1 · 24 · 313 · 53 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4053,361177] |
[a1,a2,a3,a4,a6] |
Generators |
[24:527:1] |
Generators of the group modulo torsion |
j |
-631256717056/4466127375 |
j-invariant |
L |
6.4542812235802 |
L(r)(E,1)/r! |
Ω |
0.54308897939913 |
Real period |
R |
2.9710974947115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620k1 |
Quadratic twists by: -3 |