Atkin-Lehner |
2- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119548b |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
169920 |
Modular degree for the optimal curve |
Δ |
2403744941312 = 28 · 113 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 3 11+ 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5456,136004] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-338:1] |
Generators of the group modulo torsion |
j |
52714340352/7054567 |
j-invariant |
L |
6.620134299683 |
L(r)(E,1)/r! |
Ω |
0.7857533405401 |
Real period |
R |
0.28084022072038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119548a1 |
Quadratic twists by: -11 |