Atkin-Lehner |
3+ 5+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495c |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1121915025 = 32 · 52 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-361,-2242] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:24:1] |
Generators of the group modulo torsion |
j |
5203798902289/1121915025 |
j-invariant |
L |
2.3455032658928 |
L(r)(E,1)/r! |
Ω |
1.1120160047298 |
Real period |
R |
1.0546175846015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100485t2 |
Quadratic twists by: -3 |