Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800bn |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-888000000 = -1 · 29 · 3 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,1912] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:50:1] |
Generators of the group modulo torsion |
j |
-125000/111 |
j-invariant |
L |
4.0321962347028 |
L(r)(E,1)/r! |
Ω |
1.4418713643328 |
Real period |
R |
1.398251027964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800ci1 3552c1 |
Quadratic twists by: -4 5 |