Atkin-Lehner |
2+ 3- 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bd |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-601812062550 = -1 · 2 · 36 · 52 · 234 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6729,217403] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-81:1] |
Generators of the group modulo torsion |
j |
-46225761300369/825530950 |
j-invariant |
L |
6.6298982774255 |
L(r)(E,1)/r! |
Ω |
0.9173405959109 |
Real period |
R |
0.4517064286681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999490288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13570c1 |
Quadratic twists by: -3 |