Atkin-Lehner |
3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8835d |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
26505 = 32 · 5 · 19 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-552,-5229] |
[a1,a2,a3,a4,a6] |
Generators |
[9770:77723:125] |
Generators of the group modulo torsion |
j |
18653901818761/26505 |
j-invariant |
L |
3.8119805470822 |
L(r)(E,1)/r! |
Ω |
0.98471924832168 |
Real period |
R |
7.7422687808312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26505e1 44175j1 |
Quadratic twists by: -3 5 |