Atkin-Lehner |
2+ 5- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15770d |
Isogeny class |
Conductor |
15770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13536 |
Modular degree for the optimal curve |
Δ |
-26178200 = -1 · 23 · 52 · 19 · 832 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 6 5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,41,-235] |
[a1,a2,a3,a4,a6] |
j |
7518017079/26178200 |
j-invariant |
L |
4.3105987377031 |
L(r)(E,1)/r! |
Ω |
1.0776496844258 |
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 |
126160h1 78850l1 |
Quadratic twists by: -4 5 |