Atkin-Lehner |
2+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62530f |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
8.6652660137723E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2391522,-144264076] |
[a1,a2,a3,a4,a6] |
Generators |
[17990049:458213503:9261] |
Generators of the group modulo torsion |
j |
313391362938475249/179523698032640 |
j-invariant |
L |
6.0885367433074 |
L(r)(E,1)/r! |
Ω |
0.1316707276959 |
Real period |
R |
7.7067708342137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810f1 |
Quadratic twists by: 13 |