Atkin-Lehner |
2+ 3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160z |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-147431326694400 = -1 · 210 · 33 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31680,-2258172] |
[a1,a2,a3,a4,a6] |
Generators |
[456:8850:1] |
Generators of the group modulo torsion |
j |
-3433942216615684/143975904975 |
j-invariant |
L |
8.7758571746916 |
L(r)(E,1)/r! |
Ω |
0.17848736855027 |
Real period |
R |
4.0973287755377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080e1 |
Quadratic twists by: -4 |