Atkin-Lehner |
5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3835b |
Isogeny class |
Conductor |
3835 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
816 |
Modular degree for the optimal curve |
Δ |
-95875 = -1 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
-1 2 5- 5 5 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-158] |
[a1,a2,a3,a4,a6] |
j |
-13841287201/95875 |
j-invariant |
L |
2.6916796715507 |
L(r)(E,1)/r! |
Ω |
0.89722655718358 |
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 |
61360r1 34515f1 19175a1 49855a1 |
Quadratic twists by: -4 -3 5 13 |