Atkin-Lehner |
2- 3+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10614m |
Isogeny class |
Conductor |
10614 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5663927592 = 23 · 38 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4604119,-3804407035] |
[a1,a2,a3,a4,a6] |
j |
10793525905366722685146097/5663927592 |
j-invariant |
L |
1.236784874218 |
L(r)(E,1)/r! |
Ω |
0.10306540618484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84912be6 31842h6 |
Quadratic twists by: -4 -3 |