Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11115d |
Isogeny class |
Conductor |
11115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
777504493861875 = 318 · 54 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-157545,24070846] |
[a1,a2,a3,a4,a6] |
Generators |
[-310:6716:1] |
Generators of the group modulo torsion |
j |
593214295178117521/1066535656875 |
j-invariant |
L |
3.9802302987802 |
L(r)(E,1)/r! |
Ω |
0.50453920245253 |
Real period |
R |
1.9722106227983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705c3 55575x4 |
Quadratic twists by: -3 5 |