Atkin-Lehner |
2- 3- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
98256q |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
13245120 |
Modular degree for the optimal curve |
Δ |
-1.7508327147088E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 2 1 3 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2847016,-63634220268] |
[a1,a2,a3,a4,a6] |
Generators |
[107535858:13431988224:6859] |
Generators of the group modulo torsion |
j |
623064970241622310823/427449393239449141248 |
j-invariant |
L |
7.5161235372383 |
L(r)(E,1)/r! |
Ω |
0.039138147682363 |
Real period |
R |
3.2006809999431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12282a1 |
Quadratic twists by: -4 |