Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800x |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1541835000000000 = 29 · 38 · 510 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29408,436188] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1500:1] |
Generators of the group modulo torsion |
j |
351596839112/192729375 |
j-invariant |
L |
9.2568783237485 |
L(r)(E,1)/r! |
Ω |
0.41433769117098 |
Real period |
R |
2.7926732512512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800bj3 22560i3 |
Quadratic twists by: -4 5 |