Atkin-Lehner |
2- 3- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526bl |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-3868720182684 = -1 · 22 · 310 · 73 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1769,-98427] |
[a1,a2,a3,a4,a6] |
j |
-839362385737/5306886396 |
j-invariant |
L |
3.9406648211234 |
L(r)(E,1)/r! |
Ω |
0.32838880479458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37842d1 |
Quadratic twists by: -3 |