Atkin-Lehner |
7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15631c |
Isogeny class |
Conductor |
15631 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
250854467184179243 = 79 · 118 · 29 |
Discriminant |
Eigenvalues |
-1 0 2 7- 11+ -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2614429,-1626264454] |
[a1,a2,a3,a4,a6] |
Generators |
[843569636848273650:68174895267139297783:120188100375000] |
Generators of the group modulo torsion |
j |
16798320881842096017/2132227789307 |
j-invariant |
L |
3.0630758115679 |
L(r)(E,1)/r! |
Ω |
0.11872950642878 |
Real period |
R |
25.798774910305 |
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 |
2233a4 |
Quadratic twists by: -7 |