Atkin-Lehner |
3+ 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075m |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-456540411280078125 = -1 · 312 · 58 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,192500,240625] |
[a1,a2,a3,a4,a6] |
Generators |
[52820:1693415:64] |
Generators of the group modulo torsion |
j |
50488487724628799/29218586321925 |
j-invariant |
L |
5.7771572603486 |
L(r)(E,1)/r! |
Ω |
0.17714614019447 |
Real period |
R |
8.1530950293235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015z4 |
Quadratic twists by: 5 |