Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282u |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-347292561014784 = -1 · 215 · 312 · 72 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82278,-9107532] |
[a1,a2,a3,a4,a6] |
Generators |
[3215310:179938941:1000] |
Generators of the group modulo torsion |
j |
-84498759269884513/476395831296 |
j-invariant |
L |
6.0075544850825 |
L(r)(E,1)/r! |
Ω |
0.14089707939695 |
Real period |
R |
10.659473054315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094z1 |
Quadratic twists by: -3 |