Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320l |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-209406687471360 = -1 · 28 · 311 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7887,746606] |
[a1,a2,a3,a4,a6] |
Generators |
[970:30096:1] |
Generators of the group modulo torsion |
j |
-290731267024/1122078015 |
j-invariant |
L |
5.7247578115962 |
L(r)(E,1)/r! |
Ω |
0.49129736349654 |
Real period |
R |
5.8261637828192 |
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 |
11160p1 89280dz1 7440a1 111600s1 |
Quadratic twists by: -4 8 -3 5 |