Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bp |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.18034300475E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42205480,-105537306400] |
[a1,a2,a3,a4,a6] |
Generators |
[120970:13179375:8] |
Generators of the group modulo torsion |
j |
69014771940559650916/9797607421875 |
j-invariant |
L |
9.0847750325609 |
L(r)(E,1)/r! |
Ω |
0.059232633570225 |
Real period |
R |
6.3906037951556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920c4 |
Quadratic twists by: -7 |