Atkin-Lehner |
3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2175c |
Isogeny class |
Conductor |
2175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
497306953125 = 32 · 57 · 294 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6438,-198594] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:62:1] [-44:65:1] |
Generators of the group modulo torsion |
j |
1888690601881/31827645 |
j-invariant |
L |
2.0593023447082 |
L(r)(E,1)/r! |
Ω |
0.53352569093784 |
Real period |
R |
0.48247497254721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800dk4 6525e3 435c3 106575ch4 |
Quadratic twists by: -4 -3 5 -7 |