Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616b |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-830161857982464 = -1 · 212 · 34 · 75 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -5 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54909,5161077] |
[a1,a2,a3,a4,a6] |
Generators |
[99:828:1] |
Generators of the group modulo torsion |
j |
-4469946001956352/202676234859 |
j-invariant |
L |
5.7404001279931 |
L(r)(E,1)/r! |
Ω |
0.49674856403015 |
Real period |
R |
2.8889867750296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616ba1 71232bl1 106848bd1 |
Quadratic twists by: -4 8 -3 |