Atkin-Lehner |
2+ 3- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730i |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
285824 |
Modular degree for the optimal curve |
Δ |
-358601278187520 = -1 · 211 · 36 · 5 · 17 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11985,1044701] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:172:1] |
Generators of the group modulo torsion |
j |
-261174445778961/491908474880 |
j-invariant |
L |
4.964896448011 |
L(r)(E,1)/r! |
Ω |
0.47985767838436 |
Real period |
R |
2.5866505173872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6970g1 |
Quadratic twists by: -3 |