Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8800w |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-6875000000000 = -1 · 29 · 513 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11- 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81408,8968312] |
[a1,a2,a3,a4,a6] |
Generators |
[397:6250:1] |
Generators of the group modulo torsion |
j |
-7458308028872/859375 |
j-invariant |
L |
3.9225852634138 |
L(r)(E,1)/r! |
Ω |
0.71867150528799 |
Real period |
R |
1.3645265029125 |
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 |
8800o1 17600bp1 79200bb1 1760c1 |
Quadratic twists by: -4 8 -3 5 |