Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29900d |
Isogeny class |
Conductor |
29900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
153702669250000 = 24 · 56 · 133 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13900,205125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:468:1] |
Generators of the group modulo torsion |
j |
1188031905792/614810677 |
j-invariant |
L |
4.7357739240006 |
L(r)(E,1)/r! |
Ω |
0.50827483400946 |
Real period |
R |
3.1057829394142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119600bn1 1196a1 |
Quadratic twists by: -4 5 |