Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200fr |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2584929024000000000 = 217 · 312 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10157633,12463687137] |
[a1,a2,a3,a4,a6] |
Generators |
[1349064:419203:729] |
Generators of the group modulo torsion |
j |
56594125707224978/1262172375 |
j-invariant |
L |
4.766224584815 |
L(r)(E,1)/r! |
Ω |
0.23713336438234 |
Real period |
R |
10.049671015415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999730877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200cn4 22800u4 18240cs4 |
Quadratic twists by: -4 8 5 |