Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79800bu |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
1114616508516000000 = 28 · 38 · 56 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-929108,340632288] |
[a1,a2,a3,a4,a6] |
Generators |
[358:-7350:1] |
Generators of the group modulo torsion |
j |
22174957026242512/278654127129 |
j-invariant |
L |
8.1615511985383 |
L(r)(E,1)/r! |
Ω |
0.27615488469469 |
Real period |
R |
0.30785679713086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000466 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3192c2 |
Quadratic twists by: 5 |