Atkin-Lehner |
3+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605g |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
450668510015625 = 35 · 56 · 116 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36000,2407560] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:1608:1] |
Generators of the group modulo torsion |
j |
2912566550041/254390625 |
j-invariant |
L |
3.6833622424862 |
L(r)(E,1)/r! |
Ω |
0.51458005250825 |
Real period |
R |
1.1929994185256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1005a1 |
Quadratic twists by: -11 |