Atkin-Lehner |
2+ 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bp |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1201643520 |
Modular degree for the optimal curve |
Δ |
1.1384915121472E+27 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -5 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1530021397076,-728441107833110702] |
[a1,a2,a3,a4,a6] |
Generators |
[-408340974076:204491187282:571787] |
Generators of the group modulo torsion |
j |
1014042577792199667696504796096616665/2914538271096835145728 |
j-invariant |
L |
5.487205373885 |
L(r)(E,1)/r! |
Ω |
0.0042926470222404 |
Real period |
R |
9.6839403439352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bw1 |
Quadratic twists by: 5 |