Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36360d |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-4637566742400000 = -1 · 210 · 315 · 55 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -3 -4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80283,9348518] |
[a1,a2,a3,a4,a6] |
j |
-76659680596324/6212446875 |
j-invariant |
L |
3.4068930788488 |
L(r)(E,1)/r! |
Ω |
0.42586163485671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72720l1 12120m1 |
Quadratic twists by: -4 -3 |