Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064h |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-320907130990704 = -1 · 24 · 36 · 317 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 4 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92576,-10845063] |
[a1,a2,a3,a4,a6] |
Generators |
[3082:25947:8] |
Generators of the group modulo torsion |
j |
-6179217664/22599 |
j-invariant |
L |
3.8858755803557 |
L(r)(E,1)/r! |
Ω |
0.13681996824749 |
Real period |
R |
1.7750860995152 |
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 |
46128k1 69192j1 744g1 |
Quadratic twists by: -4 -3 -31 |