Atkin-Lehner |
3+ 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675l |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
851290034765625 = 36 · 58 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23900,-238125] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:1101:1] |
Generators of the group modulo torsion |
j |
96633070930369/54482562225 |
j-invariant |
L |
6.1497486950807 |
L(r)(E,1)/r! |
Ω |
0.41351999823582 |
Real period |
R |
3.717927006691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029415 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25935m2 |
Quadratic twists by: 5 |