Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48360k |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.9228602111849E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14948656,7050274544] |
[a1,a2,a3,a4,a6] |
Generators |
[19978585:2367828918:1331] |
Generators of the group modulo torsion |
j |
360769843878558811952836/187779317498525390625 |
j-invariant |
L |
8.4019544744058 |
L(r)(E,1)/r! |
Ω |
0.088622378259972 |
Real period |
R |
7.9005200110251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96720d2 |
Quadratic twists by: -4 |