Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488ca |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1242169344 = -1 · 217 · 36 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 2 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-5744] |
[a1,a2,a3,a4,a6] |
j |
-235298/13 |
j-invariant |
L |
0.96641445487941 |
L(r)(E,1)/r! |
Ω |
0.48320722743971 |
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 |
7488y1 1872e1 832i1 97344ew1 |
Quadratic twists by: -4 8 -3 13 |