Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530bd |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
11605651073280 = 28 · 313 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95837,-11394331] |
[a1,a2,a3,a4,a6] |
Generators |
[423:4648:1] |
Generators of the group modulo torsion |
j |
133533910339799689/15919960320 |
j-invariant |
L |
9.02405404687 |
L(r)(E,1)/r! |
Ω |
0.27134368141517 |
Real period |
R |
2.0785572561978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510f1 |
Quadratic twists by: -3 |