Atkin-Lehner |
2- 3+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36660b |
Isogeny class |
Conductor |
36660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-708640908768000 = -1 · 28 · 33 · 53 · 135 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 1 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13675,1118625] |
[a1,a2,a3,a4,a6] |
Generators |
[120:2115:1] |
Generators of the group modulo torsion |
j |
1104673645789184/2768128549875 |
j-invariant |
L |
5.2136096214342 |
L(r)(E,1)/r! |
Ω |
0.35513535854251 |
Real period |
R |
2.4467711141803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109980j1 |
Quadratic twists by: -3 |