Atkin-Lehner |
2- 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23664j |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-1188520903028736 = -1 · 212 · 35 · 175 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97125,-11735667] |
[a1,a2,a3,a4,a6] |
Generators |
[21756:561527:27] |
Generators of the group modulo torsion |
j |
-24737814642405376/290166236091 |
j-invariant |
L |
5.4145678415218 |
L(r)(E,1)/r! |
Ω |
0.13512416559333 |
Real period |
R |
4.0071054779481 |
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 |
1479f1 94656cd1 70992x1 |
Quadratic twists by: -4 8 -3 |