Atkin-Lehner |
3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1575i |
Isogeny class |
Conductor |
1575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-23930279296875 = -1 · 36 · 59 · 75 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 3 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33375,-2358594] |
[a1,a2,a3,a4,a6] |
Generators |
[675:16812:1] |
Generators of the group modulo torsion |
j |
-2887553024/16807 |
j-invariant |
L |
1.4992022947917 |
L(r)(E,1)/r! |
Ω |
0.17654813229247 |
Real period |
R |
4.2458741288414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25200fr2 100800gy2 175c2 1575k2 |
Quadratic twists by: -4 8 -3 5 |