Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680g |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2852720640 |
Modular degree for the optimal curve |
Δ |
-1.2012699568733E+37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 1 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12183460801,166755642195332545] |
[a1,a2,a3,a4,a6] |
j |
-762949514912708039797646866801/45824812197620141357267649822720 |
j-invariant |
L |
2.2317826865252 |
L(r)(E,1)/r! |
Ω |
0.005693322267268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680fg1 3990ba1 |
Quadratic twists by: -4 8 |