Atkin-Lehner |
2- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162u |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
1282420694961656 = 23 · 239 · 89 |
Discriminant |
Eigenvalues |
2- -2 3 -2 0 -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27519,-347039] |
[a1,a2,a3,a4,a6] |
j |
15568817473/8662904 |
j-invariant |
L |
2.3855024212171 |
L(r)(E,1)/r! |
Ω |
0.39758374096329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094g1 |
Quadratic twists by: -23 |