Atkin-Lehner |
2- 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bv |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-12951414000 = -1 · 24 · 39 · 53 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513,3159] |
[a1,a2,a3,a4,a6] |
Generators |
[18:135:1] |
Generators of the group modulo torsion |
j |
47409408/41125 |
j-invariant |
L |
8.6661578194087 |
L(r)(E,1)/r! |
Ω |
0.81995322502906 |
Real period |
R |
0.88075733736165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118440c1 |
Quadratic twists by: -3 |