Atkin-Lehner |
3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865f |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-21044464875 = -1 · 33 · 53 · 76 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -6 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,147,-6946] |
[a1,a2,a3,a4,a6] |
Generators |
[21:73:1] |
Generators of the group modulo torsion |
j |
110592/6625 |
j-invariant |
L |
2.4636935510918 |
L(r)(E,1)/r! |
Ω |
0.57856109718746 |
Real period |
R |
1.064577978821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997451741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116865h1 2385d1 |
Quadratic twists by: -3 -7 |