Atkin-Lehner |
3- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15477c |
Isogeny class |
Conductor |
15477 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-379518250541105907 = -1 · 33 · 78 · 112 · 674 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-207120,-46866251] |
[a1,a2,a3,a4,a6] |
Generators |
[1415399702:82186599997:405224] |
Generators of the group modulo torsion |
j |
-982622739536820402553/379518250541105907 |
j-invariant |
L |
7.535525781614 |
L(r)(E,1)/r! |
Ω |
0.10979301267115 |
Real period |
R |
11.43898808355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46431b3 108339g3 |
Quadratic twists by: -3 -7 |