Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712f |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-230288061366272 = -1 · 219 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169411233,-848657634527] |
[a1,a2,a3,a4,a6] |
Generators |
[2286099717769:-69080762779040:148035889] |
Generators of the group modulo torsion |
j |
-424962187484640625/182 |
j-invariant |
L |
3.4031020062124 |
L(r)(E,1)/r! |
Ω |
0.020923484324778 |
Real period |
R |
20.330636340181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712cn3 2366a3 5824i3 |
Quadratic twists by: -4 8 13 |