Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858s |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
22957088 = 25 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,-486] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] |
Generators of the group modulo torsion |
j |
290521/32 |
j-invariant |
L |
3.0498466800825 |
L(r)(E,1)/r! |
Ω |
1.4423105825968 |
Real period |
R |
2.1145561274268 |
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 |
94864cw1 106722hm1 11858d1 11858bn1 |
Quadratic twists by: -4 -3 -7 -11 |