Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1575g |
Isogeny class |
Conductor |
1575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-196994059171875 = -1 · 37 · 56 · 78 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7655,724722] |
[a1,a2,a3,a4,a6] |
Generators |
[140:-1614:1] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
1.8654060060321 |
L(r)(E,1)/r! |
Ω |
0.49341543970829 |
Real period |
R |
0.23628744865774 |
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 |
25200dx5 100800fm5 525b6 63a6 |
Quadratic twists by: -4 8 -3 5 |