Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270x |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
33869903760 = 24 · 35 · 5 · 7 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3174,-68504] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:36:1] [-31:33:1] |
Generators of the group modulo torsion |
j |
3534661041507289/33869903760 |
j-invariant |
L |
7.385782673192 |
L(r)(E,1)/r! |
Ω |
0.63645167687517 |
Real period |
R |
2.3209248844952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ee1 |
Quadratic twists by: -3 |