Atkin-Lehner |
2+ 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8970g |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-63756517500 = -1 · 22 · 38 · 54 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-403,12506] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-148:1] |
Generators of the group modulo torsion |
j |
-7212549413161/63756517500 |
j-invariant |
L |
3.7636355105478 |
L(r)(E,1)/r! |
Ω |
0.94469482559097 |
Real period |
R |
0.12449905145934 |
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 |
71760bk1 26910be1 44850bi1 116610cl1 |
Quadratic twists by: -4 -3 5 13 |