Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28175o |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
173376 |
Modular degree for the optimal curve |
Δ |
-507572713046875 = -1 · 57 · 710 · 23 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- -2 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20008,-1530082] |
[a1,a2,a3,a4,a6] |
Generators |
[68334:525799:343] |
Generators of the group modulo torsion |
j |
-200704/115 |
j-invariant |
L |
3.7357173153397 |
L(r)(E,1)/r! |
Ω |
0.19553674567558 |
Real period |
R |
9.5524687762212 |
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 |
5635h1 28175a1 |
Quadratic twists by: 5 -7 |