Atkin-Lehner |
3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2175c |
Isogeny class |
Conductor |
2175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26609765625 = 34 · 58 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-813,3906] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:113:1] [-20:122:1] |
Generators of the group modulo torsion |
j |
3803721481/1703025 |
j-invariant |
L |
2.0593023447082 |
L(r)(E,1)/r! |
Ω |
1.0670513818757 |
Real period |
R |
1.9298998901889 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34800dk2 6525e2 435c2 106575ch2 |
Quadratic twists by: -4 -3 5 -7 |