Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800bu |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
78720 |
Modular degree for the optimal curve |
Δ |
22200000000 = 29 · 3 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,-14088] |
[a1,a2,a3,a4,a6] |
Generators |
[-21710:37867:1000] |
Generators of the group modulo torsion |
j |
975560/111 |
j-invariant |
L |
6.4009239894415 |
L(r)(E,1)/r! |
Ω |
0.81575143996321 |
Real period |
R |
7.8466597402526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800z1 88800u1 |
Quadratic twists by: -4 5 |