Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600dp |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-2420662999104000 = -1 · 29 · 38 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 -3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21152,-2042692] |
[a1,a2,a3,a4,a6] |
Generators |
[83:540:1] |
Generators of the group modulo torsion |
j |
2836568/6561 |
j-invariant |
L |
9.2897150175859 |
L(r)(E,1)/r! |
Ω |
0.23760181467331 |
Real period |
R |
2.443614296096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999566844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600fp1 117600fo1 117600bs1 |
Quadratic twists by: -4 5 -7 |