Atkin-Lehner |
2- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53360q |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
5780979712000 = 217 · 53 · 233 · 29 |
Discriminant |
Eigenvalues |
2- -3 5- -4 -5 -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5107,-79694] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:-230:1] [-23:160:1] |
Generators of the group modulo torsion |
j |
3596344921161/1411372000 |
j-invariant |
L |
5.1237584059647 |
L(r)(E,1)/r! |
Ω |
0.58403199025693 |
Real period |
R |
0.24369662066865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670b1 |
Quadratic twists by: -4 |