Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28175j |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
3081640625 = 58 · 73 · 23 |
Discriminant |
Eigenvalues |
1 2 5+ 7- -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-375,-1000] |
[a1,a2,a3,a4,a6] |
Generators |
[-420:1210:27] |
Generators of the group modulo torsion |
j |
1092727/575 |
j-invariant |
L |
8.6334243924491 |
L(r)(E,1)/r! |
Ω |
1.1502054529977 |
Real period |
R |
3.7529922893115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635e1 28175k1 |
Quadratic twists by: 5 -7 |