Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18700d |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1010604100000000 = -1 · 28 · 58 · 112 · 174 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4092,-1524812] |
[a1,a2,a3,a4,a6] |
Generators |
[443:9350:1] |
Generators of the group modulo torsion |
j |
1893932336/252651025 |
j-invariant |
L |
2.4602934699503 |
L(r)(E,1)/r! |
Ω |
0.23342230810947 |
Real period |
R |
1.3175119646215 |
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 |
74800cj2 3740a2 |
Quadratic twists by: -4 5 |