Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672cb |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
10607761905721344 = 213 · 35 · 75 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -1 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122032,15601364] |
[a1,a2,a3,a4,a6] |
Generators |
[-310:4872:1] |
Generators of the group modulo torsion |
j |
49066887527994673/2589785621514 |
j-invariant |
L |
7.4476835552327 |
L(r)(E,1)/r! |
Ω |
0.40007038498025 |
Real period |
R |
0.062053111585377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998427397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834l1 |
Quadratic twists by: -4 |