Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296w |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-3.3159879006891E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38374420,-91903552304] |
[a1,a2,a3,a4,a6] |
Generators |
[106284:34589492:1] |
Generators of the group modulo torsion |
j |
-518904725785387216/2753286252003 |
j-invariant |
L |
4.1400788414855 |
L(r)(E,1)/r! |
Ω |
0.03031944890087 |
Real period |
R |
6.8274308894776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648q2 6384o2 |
Quadratic twists by: -4 -19 |