Atkin-Lehner |
3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
96195s |
Isogeny class |
Conductor |
96195 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-1584439869375 = -1 · 33 · 54 · 116 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2599,32880] |
[a1,a2,a3,a4,a6] |
Generators |
[13:256:1] |
Generators of the group modulo torsion |
j |
1095912791/894375 |
j-invariant |
L |
2.9848298201961 |
L(r)(E,1)/r! |
Ω |
0.54570077172312 |
Real period |
R |
1.8232396227595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
795d1 |
Quadratic twists by: -11 |