Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314ce |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-195021995062752 = -1 · 25 · 37 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80609,-8814319] |
[a1,a2,a3,a4,a6] |
Generators |
[333:922:1] |
Generators of the group modulo torsion |
j |
-370680937/1248 |
j-invariant |
L |
9.2051416566812 |
L(r)(E,1)/r! |
Ω |
0.14164020692688 |
Real period |
R |
1.0831601488026 |
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 |
9438p1 28314q1 |
Quadratic twists by: -3 -11 |