Atkin-Lehner |
3- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12627c |
Isogeny class |
Conductor |
12627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-9205083 = -1 · 38 · 23 · 61 |
Discriminant |
Eigenvalues |
-2 3- 0 -3 1 -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,15,144] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [2:13:1] |
Generators of the group modulo torsion |
j |
512000/12627 |
j-invariant |
L |
3.3643839658846 |
L(r)(E,1)/r! |
Ω |
1.7316837152505 |
Real period |
R |
0.485709938867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4209b1 |
Quadratic twists by: -3 |