Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12376k |
Isogeny class |
Conductor |
12376 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1378080 |
Modular degree for the optimal curve |
Δ |
-26236327936 = -1 · 211 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 0 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-790255200,-8550913954208] |
[a1,a2,a3,a4,a6] |
j |
-26649916161419259107916753602/12810707 |
j-invariant |
L |
1.0677977017986 |
L(r)(E,1)/r! |
Ω |
0.014237302690648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24752n1 99008i1 111384r1 86632s1 |
Quadratic twists by: -4 8 -3 -7 |