Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600a |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-834803200 = -1 · 29 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,205,-810] |
[a1,a2,a3,a4,a6] |
Generators |
[9:42:1] |
Generators of the group modulo torsion |
j |
74434680/65219 |
j-invariant |
L |
4.5601230393396 |
L(r)(E,1)/r! |
Ω |
0.87230176261854 |
Real period |
R |
1.3069224535883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600n1 123200ei1 61600bx1 |
Quadratic twists by: -4 8 5 |