Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99372v |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-2.0121433867327E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,287075,-207634727] |
[a1,a2,a3,a4,a6] |
j |
8192/63 |
j-invariant |
L |
0.859482058201 |
L(r)(E,1)/r! |
Ω |
0.10743528657177 |
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 |
14196k1 99372w1 |
Quadratic twists by: -7 13 |