Atkin-Lehner |
2- 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370w |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1441792 |
Modular degree for the optimal curve |
Δ |
1.3072509087441E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-979448,-329815429] |
[a1,a2,a3,a4,a6] |
Generators |
[-579:6841:1] |
Generators of the group modulo torsion |
j |
142541038766590434361/17932111231057920 |
j-invariant |
L |
8.7922823677443 |
L(r)(E,1)/r! |
Ω |
0.15301356978968 |
Real period |
R |
1.7956500484489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790i1 |
Quadratic twists by: -3 |