Atkin-Lehner |
5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28175s |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92400 |
Modular degree for the optimal curve |
Δ |
-258965669921875 = -1 · 59 · 78 · 23 |
Discriminant |
Eigenvalues |
0 -2 5- 7+ 2 4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-28583,-2024256] |
[a1,a2,a3,a4,a6] |
Generators |
[157794:3113391:343] |
Generators of the group modulo torsion |
j |
-229376/23 |
j-invariant |
L |
2.8495217087695 |
L(r)(E,1)/r! |
Ω |
0.18254926937099 |
Real period |
R |
7.8048017354113 |
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 |
28175p1 28175bb1 |
Quadratic twists by: 5 -7 |