Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11400bb |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-65431015920000000 = -1 · 210 · 316 · 57 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4008,-12305988] |
[a1,a2,a3,a4,a6] |
Generators |
[337:4950:1] |
Generators of the group modulo torsion |
j |
-445138564/4089438495 |
j-invariant |
L |
2.9215332576215 |
L(r)(E,1)/r! |
Ω |
0.15860346456917 |
Real period |
R |
4.6050905406725 |
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 |
22800ba3 91200dl3 34200bg3 2280e4 |
Quadratic twists by: -4 8 -3 5 |