Atkin-Lehner |
3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241j |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-2927927954133 = -1 · 314 · 72 · 13 · 312 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 3 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3191,-42988] |
[a1,a2,a3,a4,a6] |
Generators |
[1046:33375:1] |
Generators of the group modulo torsion |
j |
73333014585887/59753631717 |
j-invariant |
L |
2.5212636100658 |
L(r)(E,1)/r! |
Ω |
0.44501028267256 |
Real period |
R |
1.4164075012456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59241n1 |
Quadratic twists by: -7 |