Atkin-Lehner |
2+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2368d |
Isogeny class |
Conductor |
2368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-87616 = -1 · 26 · 372 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 0 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11,20] |
[a1,a2,a3,a4,a6] |
j |
-2299968/1369 |
j-invariant |
L |
1.575787739932 |
L(r)(E,1)/r! |
Ω |
3.151575479864 |
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 |
2368e1 1184e2 21312u1 59200c1 |
Quadratic twists by: -4 8 -3 5 |