Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bl |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3207158011250 = -1 · 2 · 54 · 376 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-713,-86533] |
[a1,a2,a3,a4,a6] |
Generators |
[3385251767810:12392059836109:59776471000] |
Generators of the group modulo torsion |
j |
-25/2 |
j-invariant |
L |
12.250175640083 |
L(r)(E,1)/r! |
Ω |
0.35173080218537 |
Real period |
R |
17.414135418295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450d3 50a1 |
Quadratic twists by: 5 37 |