Atkin-Lehner |
2+ 5- 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21170b |
Isogeny class |
Conductor |
21170 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-17758683136000 = -1 · 226 · 53 · 29 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -2 -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9788,-425094] |
[a1,a2,a3,a4,a6] |
Generators |
[4395:38749:27] |
Generators of the group modulo torsion |
j |
-103691178529529401/17758683136000 |
j-invariant |
L |
2.8813316176892 |
L(r)(E,1)/r! |
Ω |
0.23776951842499 |
Real period |
R |
2.0196951209834 |
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 |
105850k1 |
Quadratic twists by: 5 |