Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200bl |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-52736000 = -1 · 212 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 1 5- 2 2 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,-332] |
[a1,a2,a3,a4,a6] |
Generators |
[18:80:1] |
Generators of the group modulo torsion |
j |
6859/103 |
j-invariant |
L |
7.4102670346357 |
L(r)(E,1)/r! |
Ω |
0.97568121843988 |
Real period |
R |
0.94937092343539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2575b1 41200bu1 |
Quadratic twists by: -4 5 |