Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bc |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
213627531600 = 24 · 33 · 52 · 7 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2135,-31500] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:60:1] |
Generators of the group modulo torsion |
j |
67297784682496/13351720725 |
j-invariant |
L |
8.8666860670375 |
L(r)(E,1)/r! |
Ω |
0.71205144622811 |
Real period |
R |
2.0753851690086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440g1 |
Quadratic twists by: -4 |