Atkin-Lehner |
5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175d |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-4411169428315234375 = -1 · 58 · 79 · 234 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2833,-101050384] |
[a1,a2,a3,a4,a6] |
j |
1367631/2399636575 |
j-invariant |
L |
0.22536515468412 |
L(r)(E,1)/r! |
Ω |
0.11268257734122 |
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 |
5635k1 4025c1 |
Quadratic twists by: 5 -7 |