Atkin-Lehner |
2- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27808g |
Isogeny class |
Conductor |
27808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-34024534016 = -1 · 212 · 113 · 792 |
Discriminant |
Eigenvalues |
2- -1 -3 -4 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20877,1168069] |
[a1,a2,a3,a4,a6] |
Generators |
[55:428:1] [103:316:1] |
Generators of the group modulo torsion |
j |
-245690769299968/8306771 |
j-invariant |
L |
5.1266504701454 |
L(r)(E,1)/r! |
Ω |
1.0874081568149 |
Real period |
R |
1.1786398782316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27808i1 55616z1 |
Quadratic twists by: -4 8 |