Atkin-Lehner |
2- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bu |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
555030280000000000 = 212 · 510 · 7 · 172 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83263138,-292468293969] |
[a1,a2,a3,a4,a6] |
Generators |
[-5269:2653:1] |
Generators of the group modulo torsion |
j |
6537052794265930213225/56835100672 |
j-invariant |
L |
7.5169936992193 |
L(r)(E,1)/r! |
Ω |
0.049978861779932 |
Real period |
R |
2.0889369390841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999733203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bn2 |
Quadratic twists by: 5 |