Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10920h |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-143947440 = -1 · 24 · 32 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49,-546] |
[a1,a2,a3,a4,a6] |
Generators |
[22:108:1] |
Generators of the group modulo torsion |
j |
796706816/8996715 |
j-invariant |
L |
5.0252845012867 |
L(r)(E,1)/r! |
Ω |
0.90309632229161 |
Real period |
R |
2.7822527770543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840a1 87360br1 32760bo1 54600bp1 |
Quadratic twists by: -4 8 -3 5 |