Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12654s |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
1078965530424 = 23 · 312 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 2 3 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2579,-5893] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:178:1] |
Generators of the group modulo torsion |
j |
2601311308777/1480062456 |
j-invariant |
L |
6.5096060121431 |
L(r)(E,1)/r! |
Ω |
0.72410638675347 |
Real period |
R |
0.49943597386819 |
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 |
101232bf1 4218e1 |
Quadratic twists by: -4 -3 |