Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240s |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-446791680 = -1 · 215 · 33 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 6 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1136,-14400] |
[a1,a2,a3,a4,a6] |
j |
-39616946929/109080 |
j-invariant |
L |
1.6443016481545 |
L(r)(E,1)/r! |
Ω |
0.41107541203864 |
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 |
3030s1 96960ea1 72720cg1 121200cz1 |
Quadratic twists by: -4 8 -3 5 |