Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11115d |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
136985839769025 = 312 · 52 · 134 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13050,113575] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:833:1] |
Generators of the group modulo torsion |
j |
337168068688801/187909245225 |
j-invariant |
L |
3.9802302987802 |
L(r)(E,1)/r! |
Ω |
0.50453920245253 |
Real period |
R |
3.9444212455966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3705c2 55575x2 |
Quadratic twists by: -3 5 |