Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29095c |
Isogeny class |
Conductor |
29095 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71808 |
Modular degree for the optimal curve |
Δ |
-2059919395435 = -1 · 5 · 112 · 237 |
Discriminant |
Eigenvalues |
-2 -2 5+ -3 11- 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-176,69000] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:264:1] |
Generators of the group modulo torsion |
j |
-4096/13915 |
j-invariant |
L |
1.4071497134726 |
L(r)(E,1)/r! |
Ω |
0.66379373389613 |
Real period |
R |
0.26498248658006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1265a1 |
Quadratic twists by: -23 |