Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240r |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-4502630726369280000 = -1 · 227 · 312 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,350544,-63687744] |
[a1,a2,a3,a4,a6] |
j |
1163027916345872591/1099275079680000 |
j-invariant |
L |
1.0710862082127 |
L(r)(E,1)/r! |
Ω |
0.13388577602657 |
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 |
3030r1 96960dy1 72720ce1 121200cx1 |
Quadratic twists by: -4 8 -3 5 |