Atkin-Lehner |
2+ 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bn |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1573045371730000 = 24 · 54 · 73 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43151,-2877902] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:121:1] |
Generators of the group modulo torsion |
j |
14216798925151225/2516872594768 |
j-invariant |
L |
7.0336043109258 |
L(r)(E,1)/r! |
Ω |
0.33526839713398 |
Real period |
R |
1.7482521356005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002198 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113050bu1 |
Quadratic twists by: 5 |