Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330fi |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
51609600 |
Modular degree for the optimal curve |
Δ |
2.0408661698925E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-676755302,6418474765301] |
[a1,a2,a3,a4,a6] |
j |
399671282266555297146121/23795714975760000000 |
j-invariant |
L |
6.4099533009735 |
L(r)(E,1)/r! |
Ω |
0.045785380726985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bc1 8190bj1 |
Quadratic twists by: -3 -7 |