Atkin-Lehner |
2- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10846c |
Isogeny class |
Conductor |
10846 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-28872052 = -1 · 22 · 114 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 2 0 -3 11+ -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,57,-175] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
20458415375/28872052 |
j-invariant |
L |
8.4819492120459 |
L(r)(E,1)/r! |
Ω |
1.114743774305 |
Real period |
R |
1.9022194623455 |
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 |
86768l1 97614r1 119306j1 |
Quadratic twists by: -4 -3 -11 |