Atkin-Lehner |
3+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075t |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
348394921875 = 34 · 58 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11875,-502250] |
[a1,a2,a3,a4,a6] |
Generators |
[1310:10595:8] |
Generators of the group modulo torsion |
j |
11853911588401/22297275 |
j-invariant |
L |
6.0352375740694 |
L(r)(E,1)/r! |
Ω |
0.45738873195262 |
Real period |
R |
3.298746312976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015q2 |
Quadratic twists by: 5 |