Atkin-Lehner |
5- 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20615h |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
254592 |
Modular degree for the optimal curve |
Δ |
-4201604047425855875 = -1 · 53 · 713 · 192 · 312 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -1 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-628335,-215375952] |
[a1,a2,a3,a4,a6] |
Generators |
[1044:16292:1] |
Generators of the group modulo torsion |
j |
-27434570069006664564736/4201604047425855875 |
j-invariant |
L |
3.7566141364683 |
L(r)(E,1)/r! |
Ω |
0.084075538744781 |
Real period |
R |
0.28641933443038 |
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 |
103075a1 |
Quadratic twists by: 5 |