Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1575g |
Isogeny class |
Conductor |
1575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
523137234375 = 314 · 56 · 7 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8780,-312528] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:50:1] |
Generators of the group modulo torsion |
j |
6570725617/45927 |
j-invariant |
L |
1.8654060060321 |
L(r)(E,1)/r! |
Ω |
0.49341543970829 |
Real period |
R |
1.8902995892619 |
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 |
25200dx3 100800fm3 525b4 63a3 |
Quadratic twists by: -4 8 -3 5 |