Atkin-Lehner |
2- 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
9476b |
Isogeny class |
Conductor |
9476 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-606464 = -1 · 28 · 23 · 103 |
Discriminant |
Eigenvalues |
2- -3 -1 -1 4 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,-26] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
2122416/2369 |
j-invariant |
L |
2.5805587663977 |
L(r)(E,1)/r! |
Ω |
1.561870890736 |
Real period |
R |
1.6522228448612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37904g1 85284d1 |
Quadratic twists by: -4 -3 |