Atkin-Lehner |
2+ 3+ 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28842b |
Isogeny class |
Conductor |
28842 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-217509751008 = -1 · 25 · 35 · 112 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9845,-380787] |
[a1,a2,a3,a4,a6] |
j |
-105545518710801625/217509751008 |
j-invariant |
L |
0.47922145200086 |
L(r)(E,1)/r! |
Ω |
0.23961072600019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86526s1 |
Quadratic twists by: -3 |