Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975r |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3935040429796875 = -1 · 39 · 56 · 74 · 732 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15633,2918916] |
[a1,a2,a3,a4,a6] |
Generators |
[2670:52467:8] |
Generators of the group modulo torsion |
j |
37092620375/345463083 |
j-invariant |
L |
5.7566284883687 |
L(r)(E,1)/r! |
Ω |
0.32308083074317 |
Real period |
R |
4.4544800870138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38325m2 4599d2 |
Quadratic twists by: -3 5 |