Atkin-Lehner |
2+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62678d |
Isogeny class |
Conductor |
62678 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
-6218122420048 = -1 · 24 · 72 · 118 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 11- -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4353,46946] |
[a1,a2,a3,a4,a6] |
Generators |
[131:-1760:1] |
Generators of the group modulo torsion |
j |
42568823/29008 |
j-invariant |
L |
1.6263561840469 |
L(r)(E,1)/r! |
Ω |
0.47525698033485 |
Real period |
R |
0.28517136546539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62678l1 |
Quadratic twists by: -11 |