Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850ct |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
1780392960000000 = 216 · 38 · 57 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30380,-172753] |
[a1,a2,a3,a4,a6] |
Generators |
[789:21205:1] [189:805:1] |
Generators of the group modulo torsion |
j |
272223782641/156303360 |
j-invariant |
L |
9.9331799069198 |
L(r)(E,1)/r! |
Ω |
0.39278306186071 |
Real period |
R |
0.39514416764909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950p1 4770g1 |
Quadratic twists by: -3 5 |