Atkin-Lehner |
2+ 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47880c |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
10517760 |
Modular degree for the optimal curve |
Δ |
-1.2335242934259E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-557361108,-5064720949692] |
[a1,a2,a3,a4,a6] |
j |
-3800164853365651669275648/24480283855077785 |
j-invariant |
L |
0.62143429538242 |
L(r)(E,1)/r! |
Ω |
0.015535857387108 |
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 |
95760f1 47880x1 |
Quadratic twists by: -4 -3 |