Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
97600d |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-156160000000 = -1 · 215 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -2 7 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1300,-6000] |
[a1,a2,a3,a4,a6] |
Generators |
[5:25:1] |
Generators of the group modulo torsion |
j |
474552/305 |
j-invariant |
L |
7.5298113116272 |
L(r)(E,1)/r! |
Ω |
0.58696572041225 |
Real period |
R |
1.6035457931307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600e1 48800f1 19520c1 |
Quadratic twists by: -4 8 5 |