Atkin-Lehner |
7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
87451g |
Isogeny class |
Conductor |
87451 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-246699271 = -1 · 72 · 132 · 313 |
Discriminant |
Eigenvalues |
1 0 -2 7- 2 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37,-760] |
[a1,a2,a3,a4,a6] |
j |
185193/8281 |
j-invariant |
L |
1.6829690520255 |
L(r)(E,1)/r! |
Ω |
0.84148455762207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87451e1 |
Quadratic twists by: -31 |