Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600f |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-78080000000000 = -1 · 217 · 510 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60833,-5770463] |
[a1,a2,a3,a4,a6] |
Generators |
[627341:535952:2197] |
Generators of the group modulo torsion |
j |
-19450850/61 |
j-invariant |
L |
5.6423699150672 |
L(r)(E,1)/r! |
Ω |
0.15196815733395 |
Real period |
R |
9.2821582131258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600bw1 12200a1 97600x1 |
Quadratic twists by: -4 8 5 |