Atkin-Lehner |
2- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87248u |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15897600 |
Modular degree for the optimal curve |
Δ |
4.9291320596956E+23 |
Discriminant |
Eigenvalues |
2- 3 1 7- 0 -4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36987907,-79723207678] |
[a1,a2,a3,a4,a6] |
Generators |
[-86406:2068892:27] |
Generators of the group modulo torsion |
j |
1366290457558475872454361/120340138176160989184 |
j-invariant |
L |
13.604703667422 |
L(r)(E,1)/r! |
Ω |
0.061562975919657 |
Real period |
R |
9.2078500782926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906d1 |
Quadratic twists by: -4 |