Atkin-Lehner |
3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045be |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.0551298876287E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1354568,-351754144] |
[a1,a2,a3,a4,a6] |
Generators |
[-695:16272:1] |
Generators of the group modulo torsion |
j |
377049455876971757881/144736610099956875 |
j-invariant |
L |
3.2961114689347 |
L(r)(E,1)/r! |
Ω |
0.144557666884 |
Real period |
R |
0.9500566855659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015w3 |
Quadratic twists by: -3 |