Atkin-Lehner |
2+ 7- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85358h |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-597506 = -1 · 2 · 73 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -4 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] |
Generators of the group modulo torsion |
j |
-29791/1742 |
j-invariant |
L |
2.2876420198241 |
L(r)(E,1)/r! |
Ω |
1.2739581730179 |
Real period |
R |
0.89784816364675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85358c1 |
Quadratic twists by: -7 |