Atkin-Lehner |
2- 3+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690m |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2661957738625040100 = -1 · 22 · 32 · 52 · 716 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,307100,-43129015] |
[a1,a2,a3,a4,a6] |
Generators |
[205:5235:1] |
Generators of the group modulo torsion |
j |
3203045242667802302399/2661957738625040100 |
j-invariant |
L |
6.9409383933161 |
L(r)(E,1)/r! |
Ω |
0.14155823142969 |
Real period |
R |
6.1290487342336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56070l3 93450bc3 |
Quadratic twists by: -3 5 |