Atkin-Lehner |
2- 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57276c |
Isogeny class |
Conductor |
57276 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
4.4243546923884E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147408480,688861271124] |
[a1,a2,a3,a4,a6] |
Generators |
[189111:20683:27] |
Generators of the group modulo torsion |
j |
1898119813080763662336000/237073189535557 |
j-invariant |
L |
7.1135811622076 |
L(r)(E,1)/r! |
Ω |
0.15725008395879 |
Real period |
R |
2.2618687962368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6364b1 |
Quadratic twists by: -3 |