Atkin-Lehner |
2+ 3- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23994g |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
14719211053056 = 213 · 36 · 31 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 3 -1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28140,-1800496] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:67:1] |
Generators of the group modulo torsion |
j |
3380470452981441/20190961664 |
j-invariant |
L |
3.3947458622122 |
L(r)(E,1)/r! |
Ω |
0.36874321482789 |
Real period |
R |
1.5343766455457 |
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 |
2666c1 |
Quadratic twists by: -3 |