Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28175k |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
362551937890625 = 58 · 79 · 23 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18401,287823] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:1021:1] |
Generators of the group modulo torsion |
j |
1092727/575 |
j-invariant |
L |
2.524017963769 |
L(r)(E,1)/r! |
Ω |
0.47173941768887 |
Real period |
R |
2.6752247841982 |
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 |
5635b1 28175j1 |
Quadratic twists by: 5 -7 |