Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075bn |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-22131787412109375 = -1 · 35 · 510 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,55412,-5096833] |
[a1,a2,a3,a4,a6] |
Generators |
[203:-3913:1] |
Generators of the group modulo torsion |
j |
1204244503934471/1416434394375 |
j-invariant |
L |
5.0237244564815 |
L(r)(E,1)/r! |
Ω |
0.20505066785695 |
Real period |
R |
1.2249958770407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015b1 |
Quadratic twists by: 5 |