Atkin-Lehner |
5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86975z |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
-3377076171875 = -1 · 59 · 73 · 712 |
Discriminant |
Eigenvalues |
0 3 5- 7- -5 1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3500,38281] |
[a1,a2,a3,a4,a6] |
j |
7077888/5041 |
j-invariant |
L |
4.0280506616962 |
L(r)(E,1)/r! |
Ω |
0.50350634597115 |
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 |
86975bb1 86975bc1 |
Quadratic twists by: 5 -7 |