Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090f |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-57318592800 = -1 · 25 · 3 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-647,-13419] |
[a1,a2,a3,a4,a6] |
Generators |
[37:104:1] |
Generators of the group modulo torsion |
j |
-30025133704441/57318592800 |
j-invariant |
L |
2.6376211134675 |
L(r)(E,1)/r! |
Ω |
0.4454141781631 |
Real period |
R |
0.42298049173422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48720cp1 18270bq1 30450cp1 42630bi1 |
Quadratic twists by: -4 -3 5 -7 |