Atkin-Lehner |
2+ 3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
28938f |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-1600155648 = -1 · 212 · 34 · 7 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-92,1946] |
[a1,a2,a3,a4,a6] |
j |
-84778086457/1600155648 |
j-invariant |
L |
2.5287334033055 |
L(r)(E,1)/r! |
Ω |
1.2643667016538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86814bi1 |
Quadratic twists by: -3 |