Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320q |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
42065049600 = 211 · 36 · 52 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1296,-14580] |
[a1,a2,a3,a4,a6] |
j |
117636968738/20539575 |
j-invariant |
L |
1.610302933368 |
L(r)(E,1)/r! |
Ω |
0.80515146668402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640p2 57960w2 96600bb2 |
Quadratic twists by: -4 -3 5 |