Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6880d |
Isogeny class |
Conductor |
6880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-2752000 = -1 · 29 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 2 7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-200] |
[a1,a2,a3,a4,a6] |
j |
-38614472/5375 |
j-invariant |
L |
1.7292747368005 |
L(r)(E,1)/r! |
Ω |
0.86463736840027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6880a1 13760s1 61920cc1 34400ba1 |
Quadratic twists by: -4 8 -3 5 |