Atkin-Lehner |
2+ 3- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23994i |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-5737626482688 = -1 · 211 · 37 · 313 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4428,19408] |
[a1,a2,a3,a4,a6] |
Generators |
[83:935:1] |
Generators of the group modulo torsion |
j |
13169335133375/7870543872 |
j-invariant |
L |
4.0552740278489 |
L(r)(E,1)/r! |
Ω |
0.46428669590422 |
Real period |
R |
1.4557363168143 |
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 |
7998d1 |
Quadratic twists by: -3 |