Atkin-Lehner |
11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
68651a |
Isogeny class |
Conductor |
68651 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
2323672987325239 = 112 · 797 |
Discriminant |
Eigenvalues |
1 -1 1 5 11+ 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858267,-306391598] |
[a1,a2,a3,a4,a6] |
j |
287626699801/9559 |
j-invariant |
L |
2.5096591152771 |
L(r)(E,1)/r! |
Ω |
0.15685369405612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
869a1 |
Quadratic twists by: -79 |