Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312by |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-15281464375296 = -1 · 211 · 37 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 -4 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3381,-172186] |
[a1,a2,a3,a4,a6] |
Generators |
[58:468:1] |
Generators of the group modulo torsion |
j |
24334/87 |
j-invariant |
L |
4.6605267990807 |
L(r)(E,1)/r! |
Ω |
0.35607218487796 |
Real period |
R |
3.2721783689065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104g1 2088l1 |
Quadratic twists by: -3 -7 |