Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51120s |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
7.5027334142362E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2291787,1268701434] |
[a1,a2,a3,a4,a6] |
j |
16511830677985707/930611200000 |
j-invariant |
L |
1.9088378696716 |
L(r)(E,1)/r! |
Ω |
0.19088378702423 |
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 |
6390n1 51120p1 |
Quadratic twists by: -4 -3 |