Atkin-Lehner |
2- 3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
60390ba |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1038663784857600 = -1 · 220 · 310 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24503,2147087] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1438:1] |
Generators of the group modulo torsion |
j |
-2231707882611241/1424778854400 |
j-invariant |
L |
8.1480512274724 |
L(r)(E,1)/r! |
Ω |
0.45501704077876 |
Real period |
R |
0.44767835581308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130h1 |
Quadratic twists by: -3 |