Atkin-Lehner |
3- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15477c |
Isogeny class |
Conductor |
15477 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
115037658764721 = 36 · 74 · 114 · 672 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-223455,-40672019] |
[a1,a2,a3,a4,a6] |
Generators |
[27950:1622161:8] |
Generators of the group modulo torsion |
j |
1233931777408878913513/115037658764721 |
j-invariant |
L |
7.535525781614 |
L(r)(E,1)/r! |
Ω |
0.2195860253423 |
Real period |
R |
5.7194940417749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46431b2 108339g2 |
Quadratic twists by: -3 -7 |