Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120w |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
532906290000 = 24 · 37 · 54 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4611,113760] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1350:1] |
Generators of the group modulo torsion |
j |
677771463092224/33306643125 |
j-invariant |
L |
9.0776440427375 |
L(r)(E,1)/r! |
Ω |
0.91406319636352 |
Real period |
R |
1.4187271699774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560b1 |
Quadratic twists by: -4 |