Atkin-Lehner |
5+ 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117845c |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
19915805 = 5 · 72 · 133 · 37 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 0 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1769,-28773] |
[a1,a2,a3,a4,a6] |
j |
12484126846681/406445 |
j-invariant |
L |
0.73620377516133 |
L(r)(E,1)/r! |
Ω |
0.73620346643184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117845k1 |
Quadratic twists by: -7 |