Atkin-Lehner |
2- 3- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118bk |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
-2.5100322091024E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -5 7 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88844450,322347796769] |
[a1,a2,a3,a4,a6] |
Generators |
[5373:-11561:1] |
Generators of the group modulo torsion |
j |
-106386638994486259839249625/344311688491408512 |
j-invariant |
L |
9.3657181150708 |
L(r)(E,1)/r! |
Ω |
0.15299673062638 |
Real period |
R |
0.43725108543675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20706f1 |
Quadratic twists by: -3 |