Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bl |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-32071580112500000 = -1 · 25 · 58 · 376 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-103388,15417392] |
[a1,a2,a3,a4,a6] |
Generators |
[838:18747:8] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
12.250175640083 |
L(r)(E,1)/r! |
Ω |
0.35173080218537 |
Real period |
R |
3.4828270834403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450d1 50a3 |
Quadratic twists by: 5 37 |