Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bh |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-14048118881671875 = -1 · 3 · 56 · 7 · 117 · 133 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11+ 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,47042,-4119131] |
[a1,a2,a3,a4,a6] |
Generators |
[597902634:9783438661:4251528] |
Generators of the group modulo torsion |
j |
736803680768000/899079608427 |
j-invariant |
L |
16.023726085535 |
L(r)(E,1)/r! |
Ω |
0.21243705814456 |
Real period |
R |
12.571351897965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3003f1 |
Quadratic twists by: 5 |