Atkin-Lehner |
3+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14145a |
Isogeny class |
Conductor |
14145 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
363028109765625 = 34 · 58 · 234 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 0 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24600,-1178640] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:608:1] |
Generators of the group modulo torsion |
j |
1646380208981462401/363028109765625 |
j-invariant |
L |
2.46456072213 |
L(r)(E,1)/r! |
Ω |
0.38720396552458 |
Real period |
R |
0.79562741525357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42435b3 70725q3 |
Quadratic twists by: -3 5 |