Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968s |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-103117444429824 = -1 · 211 · 315 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11+ -4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7131,540758] |
[a1,a2,a3,a4,a6] |
j |
-26860713266/69067647 |
j-invariant |
L |
4.2185307472722 |
L(r)(E,1)/r! |
Ω |
0.52731634340902 |
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 |
45936r1 7656c1 |
Quadratic twists by: -4 -3 |