Atkin-Lehner |
3+ 5+ 37+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
88245a |
Isogeny class |
Conductor |
88245 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2930688 |
Modular degree for the optimal curve |
Δ |
-4.0881178855584E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3931185,-681230080] |
[a1,a2,a3,a4,a6] |
j |
341352276540995845917/207697906089438845 |
j-invariant |
L |
0.48324593055566 |
L(r)(E,1)/r! |
Ω |
0.080540981001197 |
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 |
88245b1 |
Quadratic twists by: -3 |