Atkin-Lehner |
2- 3- 13+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115362k |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2801664 |
Modular degree for the optimal curve |
Δ |
1.6690814335518E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-638960,3465555] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2321:1] |
Generators of the group modulo torsion |
j |
39574602455314461625/22895492915662848 |
j-invariant |
L |
13.309907705358 |
L(r)(E,1)/r! |
Ω |
0.18589800598113 |
Real period |
R |
2.9832460118812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38454b1 |
Quadratic twists by: -3 |