Atkin-Lehner |
3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241n |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-344467795875793317 = -1 · 314 · 78 · 13 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 3 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,156358,15213897] |
[a1,a2,a3,a4,a6] |
Generators |
[208:-7637:1] |
Generators of the group modulo torsion |
j |
73333014585887/59753631717 |
j-invariant |
L |
5.9335380130157 |
L(r)(E,1)/r! |
Ω |
0.19593178459633 |
Real period |
R |
1.0815604641875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59241j1 |
Quadratic twists by: -7 |