Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114i |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
87671163623904 = 25 · 32 · 73 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15096,-560160] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:130:1] |
Generators of the group modulo torsion |
j |
1109328585347359/255601060128 |
j-invariant |
L |
2.0273666230988 |
L(r)(E,1)/r! |
Ω |
0.43784716992108 |
Real period |
R |
0.77171775997557 |
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 |
72912cl2 27342bo2 9114m2 |
Quadratic twists by: -4 -3 -7 |