Atkin-Lehner |
2- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70886f |
Isogeny class |
Conductor |
70886 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3656448 |
Modular degree for the optimal curve |
Δ |
-494293927190614016 = -1 · 212 · 239 · 67 |
Discriminant |
Eigenvalues |
2- 1 1 -4 2 4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23731480,-44499463616] |
[a1,a2,a3,a4,a6] |
j |
-820630510795367/274432 |
j-invariant |
L |
3.2832925171551 |
L(r)(E,1)/r! |
Ω |
0.034200963756487 |
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 |
70886d1 |
Quadratic twists by: -23 |