Atkin-Lehner |
2- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
48100g |
Isogeny class |
Conductor |
48100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1779700000000 = -1 · 28 · 58 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 2 5- 3 -3 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77708,8363912] |
[a1,a2,a3,a4,a6] |
j |
-518951170000/17797 |
j-invariant |
L |
4.6933881552034 |
L(r)(E,1)/r! |
Ω |
0.78223135917499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48100c1 |
Quadratic twists by: 5 |