Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3776o |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-241664 = -1 · 212 · 59 |
Discriminant |
Eigenvalues |
2- -1 3 5 0 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9,-23] |
[a1,a2,a3,a4,a6] |
j |
-21952/59 |
j-invariant |
L |
2.5366282366454 |
L(r)(E,1)/r! |
Ω |
1.2683141183227 |
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 |
3776t1 1888c1 33984cc1 94400bt1 |
Quadratic twists by: -4 8 -3 5 |