Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184m |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-275721836544 = -1 · 211 · 33 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,408,-25200] |
[a1,a2,a3,a4,a6] |
Generators |
[32:140:1] |
Generators of the group modulo torsion |
j |
3658553134/134629803 |
j-invariant |
L |
6.7529376595953 |
L(r)(E,1)/r! |
Ω |
0.47022783136928 |
Real period |
R |
1.7951238734762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592i2 |
Quadratic twists by: -4 |