Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600bg |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
273600000000 = 212 · 32 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2033,-24063] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:100:1] |
Generators of the group modulo torsion |
j |
14526784/4275 |
j-invariant |
L |
5.2675242655008 |
L(r)(E,1)/r! |
Ω |
0.72703883832464 |
Real period |
R |
0.9056469867627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600n2 91200da1 9120g2 |
Quadratic twists by: -4 8 5 |