Atkin-Lehner |
3+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11685b |
Isogeny class |
Conductor |
11685 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
21558825 = 33 · 52 · 19 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-253,1432] |
[a1,a2,a3,a4,a6] |
j |
1802041022809/21558825 |
j-invariant |
L |
2.1580235529502 |
L(r)(E,1)/r! |
Ω |
2.1580235529502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35055i1 58425l1 |
Quadratic twists by: -3 5 |