Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300v |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-136395191660000000 = -1 · 28 · 57 · 79 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,94467,13782937] |
[a1,a2,a3,a4,a6] |
Generators |
[312:-8575:1] |
Generators of the group modulo torsion |
j |
137915408384/201768035 |
j-invariant |
L |
3.637996842633 |
L(r)(E,1)/r! |
Ω |
0.22230545982992 |
Real period |
R |
0.45457933313443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23660c2 118300g2 |
Quadratic twists by: 5 13 |