Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240i |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
10471680 = 28 · 34 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,684] |
[a1,a2,a3,a4,a6] |
j |
1650587344/40905 |
j-invariant |
L |
4.5567124918928 |
L(r)(E,1)/r! |
Ω |
2.2783562459464 |
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 |
12120a1 96960cx1 72720w1 121200e1 |
Quadratic twists by: -4 8 -3 5 |