Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928cn |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3654075417624576 = -1 · 222 · 36 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8364,-2923216] |
[a1,a2,a3,a4,a6] |
j |
-338608873/19120976 |
j-invariant |
L |
2.3365717308229 |
L(r)(E,1)/r! |
Ω |
0.1947143157172 |
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 |
116928dx1 3654u1 12992o1 |
Quadratic twists by: -4 8 -3 |