Atkin-Lehner |
2- 3+ 13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30498m |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-2435936256 = -1 · 212 · 32 · 132 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-204,2541] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-43:1] [-11:65:1] |
Generators of the group modulo torsion |
j |
-939176600257/2435936256 |
j-invariant |
L |
8.7190952777204 |
L(r)(E,1)/r! |
Ω |
1.2808970780625 |
Real period |
R |
0.56725187806845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91494f1 |
Quadratic twists by: -3 |