Atkin-Lehner |
2- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400cr |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1663488 |
Modular degree for the optimal curve |
Δ |
-536097817886720000 = -1 · 237 · 54 · 792 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -1 -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1757633,896998463] |
[a1,a2,a3,a4,a6] |
j |
-3665123505412225/3272081408 |
j-invariant |
L |
3.4880643405899 |
L(r)(E,1)/r! |
Ω |
0.29067208603937 |
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 |
126400bb1 31600y1 126400ce1 |
Quadratic twists by: -4 8 5 |