Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480cf |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
8213837814927360 = 212 · 316 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50520,-281808] |
[a1,a2,a3,a4,a6] |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
2.0804655627436 |
L(r)(E,1)/r! |
Ω |
0.34674426045727 |
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 |
1155l1 73920gk1 55440db1 92400hp1 |
Quadratic twists by: -4 8 -3 5 |