Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360dv |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-87890156046000 = -1 · 24 · 32 · 53 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10519,172656] |
[a1,a2,a3,a4,a6] |
Generators |
[51322:4110855:8] |
Generators of the group modulo torsion |
j |
199344128/136125 |
j-invariant |
L |
5.1029949860033 |
L(r)(E,1)/r! |
Ω |
0.38126027393543 |
Real period |
R |
6.6922720259947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340bg1 129360hj1 |
Quadratic twists by: -4 -7 |