Atkin-Lehner |
3+ 5+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23115a |
Isogeny class |
Conductor |
23115 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-35155025625 = -1 · 3 · 54 · 234 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,797,-2222] |
[a1,a2,a3,a4,a6] |
Generators |
[2676:19537:64] |
Generators of the group modulo torsion |
j |
55878787480391/35155025625 |
j-invariant |
L |
3.5039656648466 |
L(r)(E,1)/r! |
Ω |
0.66759018870305 |
Real period |
R |
5.2486775931412 |
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 |
69345e3 115575h3 |
Quadratic twists by: -3 5 |