Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640t |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
47619559680 = 28 · 3 · 5 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4396,110240] |
[a1,a2,a3,a4,a6] |
Generators |
[616:15216:1] |
Generators of the group modulo torsion |
j |
20720464/105 |
j-invariant |
L |
6.5167696373776 |
L(r)(E,1)/r! |
Ω |
1.1377416279796 |
Real period |
R |
5.7278115283281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
840i1 |
Quadratic twists by: -11 |