Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49010p |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-24019801000 = -1 · 23 · 53 · 134 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -1 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20706,-1148564] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3142:1] |
Generators of the group modulo torsion |
j |
-34374804970129/841000 |
j-invariant |
L |
6.4119668912361 |
L(r)(E,1)/r! |
Ω |
0.19899618926775 |
Real period |
R |
5.3702593626347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49010j1 |
Quadratic twists by: 13 |