Atkin-Lehner |
2- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47120j |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
12718080 |
Modular degree for the optimal curve |
Δ |
-1.3792088382229E+26 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173363616,-1044652162316] |
[a1,a2,a3,a4,a6] |
Generators |
[308892:171517358:1] |
Generators of the group modulo torsion |
j |
-140681709585073475488230049/33672090776925775000000 |
j-invariant |
L |
3.2260527994037 |
L(r)(E,1)/r! |
Ω |
0.020543190558743 |
Real period |
R |
7.8518786801303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890g1 |
Quadratic twists by: -4 |