Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
30082l |
Isogeny class |
Conductor |
30082 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-10751774660292224 = -1 · 27 · 139 · 892 |
Discriminant |
Eigenvalues |
2- 1 3 -3 2 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15974,5047652] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-2204:1] |
Generators of the group modulo torsion |
j |
-42508549/1013888 |
j-invariant |
L |
10.99768629382 |
L(r)(E,1)/r! |
Ω |
0.33971513280746 |
Real period |
R |
1.1561878543579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30082f1 |
Quadratic twists by: 13 |