Atkin-Lehner |
2- 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
2958a |
Isogeny class |
Conductor |
2958 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
83380104 = 23 · 36 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-709,-7549] |
[a1,a2,a3,a4,a6] |
j |
39418555113937/83380104 |
j-invariant |
L |
2.7759475285375 |
L(r)(E,1)/r! |
Ω |
0.92531584284582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23664q2 94656y2 8874b2 73950bf2 |
Quadratic twists by: -4 8 -3 5 |