Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400de |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4115643750000 = -1 · 24 · 33 · 58 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3675,-46625] |
[a1,a2,a3,a4,a6] |
Generators |
[14:87:1] |
Generators of the group modulo torsion |
j |
813189888/609725 |
j-invariant |
L |
7.2583971994298 |
L(r)(E,1)/r! |
Ω |
0.43662574937477 |
Real period |
R |
1.3853201175689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999806294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26100f1 104400ct2 20880bg1 |
Quadratic twists by: -4 -3 5 |