Atkin-Lehner |
2+ 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440c |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-17766000 = -1 · 24 · 33 · 53 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -5 4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,-117] |
[a1,a2,a3,a4,a6] |
Generators |
[3:9:1] [6:21:1] |
Generators of the group modulo torsion |
j |
47409408/41125 |
j-invariant |
L |
10.484359995328 |
L(r)(E,1)/r! |
Ω |
1.2034033512046 |
Real period |
R |
2.1780644007656 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118440bv1 |
Quadratic twists by: -3 |