Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241p |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-597180041896347 = -1 · 32 · 78 · 135 · 31 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,12087,1062695] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:655:1] |
Generators of the group modulo torsion |
j |
1659797504000/5075946603 |
j-invariant |
L |
6.5666852522482 |
L(r)(E,1)/r! |
Ω |
0.36355980910398 |
Real period |
R |
4.5155467462372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8463b1 |
Quadratic twists by: -7 |