Atkin-Lehner |
2+ 3+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23994d |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
13013769744 = 24 · 39 · 312 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -2 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23208,1366640] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-108:1] |
Generators of the group modulo torsion |
j |
70235405336979/661168 |
j-invariant |
L |
1.4598143545419 |
L(r)(E,1)/r! |
Ω |
1.1377255792207 |
Real period |
R |
0.64154941279505 |
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 |
23994t1 |
Quadratic twists by: -3 |