Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18975q |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
16306640625 = 3 · 59 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4401,111823] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2201:1] |
Generators of the group modulo torsion |
j |
603136942849/1043625 |
j-invariant |
L |
6.3836539651465 |
L(r)(E,1)/r! |
Ω |
1.2377298589231 |
Real period |
R |
5.1575502676334 |
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 |
56925r1 3795b1 |
Quadratic twists by: -3 5 |