Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600be |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
8000337600000000 = 212 · 36 · 58 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-910033,334419937] |
[a1,a2,a3,a4,a6] |
Generators |
[297:9500:1] |
Generators of the group modulo torsion |
j |
1302313788921664/125005275 |
j-invariant |
L |
5.4579731776104 |
L(r)(E,1)/r! |
Ω |
0.39753176136739 |
Real period |
R |
0.57206887893712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600o2 91200ct1 9120i2 |
Quadratic twists by: -4 8 5 |