Atkin-Lehner |
2+ 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530h |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129536 |
Modular degree for the optimal curve |
Δ |
-14688402139620 = -1 · 22 · 317 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2430,-189464] |
[a1,a2,a3,a4,a6] |
Generators |
[527:11765:1] |
Generators of the group modulo torsion |
j |
-2177286259681/20148699780 |
j-invariant |
L |
4.8504681284555 |
L(r)(E,1)/r! |
Ω |
0.29715315091201 |
Real period |
R |
1.0201953339461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510m1 |
Quadratic twists by: -3 |