Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8800y |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-55000000000 = -1 · 29 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,11412] |
[a1,a2,a3,a4,a6] |
Generators |
[36:222:1] |
Generators of the group modulo torsion |
j |
-200/11 |
j-invariant |
L |
6.0248934273658 |
L(r)(E,1)/r! |
Ω |
0.92577278989727 |
Real period |
R |
3.25398061658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8800r1 17600bx1 79200s1 8800l1 |
Quadratic twists by: -4 8 -3 5 |