Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465m |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-21049875 = -1 · 37 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11- -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,-221] |
[a1,a2,a3,a4,a6] |
j |
-4096/28875 |
j-invariant |
L |
3.9183720257834 |
L(r)(E,1)/r! |
Ω |
0.97959300644584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55440cu1 1155g1 17325v1 24255by1 |
Quadratic twists by: -4 -3 5 -7 |