Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
62846j |
Isogeny class |
Conductor |
62846 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1951488 |
Modular degree for the optimal curve |
Δ |
-142019515989232 = -1 · 24 · 711 · 672 |
Discriminant |
Eigenvalues |
2- 2 4 7+ -5 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3045746,2044650991] |
[a1,a2,a3,a4,a6] |
Generators |
[479885:7614921:343] |
Generators of the group modulo torsion |
j |
-696073600995675596761/31637227888 |
j-invariant |
L |
17.074244567335 |
L(r)(E,1)/r! |
Ω |
0.43314735438113 |
Real period |
R |
9.8547551973346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62846e1 |
Quadratic twists by: -67 |