Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13328v |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-998260823031808 = -1 · 222 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 4 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24680,-297744] |
[a1,a2,a3,a4,a6] |
j |
3449795831/2071552 |
j-invariant |
L |
2.30095931075 |
L(r)(E,1)/r! |
Ω |
0.28761991384375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1666g1 53312ck1 119952fu1 1904b1 |
Quadratic twists by: -4 8 -3 -7 |