Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600ca |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-328451500000000 = -1 · 28 · 59 · 134 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 1 4 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72333,-7562537] |
[a1,a2,a3,a4,a6] |
Generators |
[2479:122694:1] |
Generators of the group modulo torsion |
j |
-83708420096/656903 |
j-invariant |
L |
5.3755022847903 |
L(r)(E,1)/r! |
Ω |
0.1454894357561 |
Real period |
R |
4.6184644388653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29900l1 119600cr1 |
Quadratic twists by: -4 5 |