Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bt |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-768464444160 = -1 · 28 · 36 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-42532] |
[a1,a2,a3,a4,a6] |
Generators |
[161:2009:1] |
Generators of the group modulo torsion |
j |
-1024/35 |
j-invariant |
L |
4.3589263646208 |
L(r)(E,1)/r! |
Ω |
0.39113851403427 |
Real period |
R |
2.7860503429216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17640cj1 3920m1 5040t1 |
Quadratic twists by: -4 -3 -7 |