Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29095a |
Isogeny class |
Conductor |
29095 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12320 |
Modular degree for the optimal curve |
Δ |
-8141973895 = -1 · 5 · 11 · 236 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,430,-2769] |
[a1,a2,a3,a4,a6] |
Generators |
[109500462:108620353:17779581] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
5.1213560567668 |
L(r)(E,1)/r! |
Ω |
0.71782064919116 |
Real period |
R |
14.26918008708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55a4 |
Quadratic twists by: -23 |