Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bj |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
174312600000 = 26 · 3 · 55 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12320,530082] |
[a1,a2,a3,a4,a6] |
Generators |
[19:550:1] |
Generators of the group modulo torsion |
j |
3231551729387584/2723634375 |
j-invariant |
L |
6.0835971195376 |
L(r)(E,1)/r! |
Ω |
1.0087319919345 |
Real period |
R |
1.2061870085216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920dn1 36960o2 |
Quadratic twists by: -4 8 |