Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10920k |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-7491120 = -1 · 24 · 3 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] [9:33:1] |
Generators of the group modulo torsion |
j |
796706816/468195 |
j-invariant |
L |
5.0012736518383 |
L(r)(E,1)/r! |
Ω |
1.4253614469168 |
Real period |
R |
3.5087757302935 |
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 |
21840p1 87360de1 32760o1 54600bc1 |
Quadratic twists by: -4 8 -3 5 |