Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fl |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
375693728256000 = 212 · 34 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159560,24567600] |
[a1,a2,a3,a4,a6] |
Generators |
[250:490:1] |
Generators of the group modulo torsion |
j |
932288503609/779625 |
j-invariant |
L |
6.6993133776766 |
L(r)(E,1)/r! |
Ω |
0.53203885755596 |
Real period |
R |
0.52465727182509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085u1 18480cq1 |
Quadratic twists by: -4 -7 |