Atkin-Lehner |
2+ 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290ba |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1200008540250000 = 24 · 310 · 56 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-238151259,1414639287765] |
[a1,a2,a3,a4,a6] |
Generators |
[83986:-23996443:1] |
Generators of the group modulo torsion |
j |
2049060729827329230018537649/1646102250000 |
j-invariant |
L |
5.7095940923628 |
L(r)(E,1)/r! |
Ω |
0.21259747003239 |
Real period |
R |
6.7140898848496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
14430bj3 |
Quadratic twists by: -3 |