Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445bt |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3742848 |
Modular degree for the optimal curve |
Δ |
4694097603628890625 = 56 · 72 · 1910 |
Discriminant |
Eigenvalues |
1 -1 5- 7- -5 -3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13360617,18791116744] |
[a1,a2,a3,a4,a6] |
j |
877952898529/15625 |
j-invariant |
L |
1.3455886374075 |
L(r)(E,1)/r! |
Ω |
0.22426476174143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445f1 88445bk1 |
Quadratic twists by: -7 -19 |