Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
55550p |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-127079304687500 = -1 · 22 · 59 · 115 · 101 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11+ 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11912,-204219] |
[a1,a2,a3,a4,a6] |
Generators |
[41:575:1] |
Generators of the group modulo torsion |
j |
11963423082311/8133075500 |
j-invariant |
L |
5.9994866953134 |
L(r)(E,1)/r! |
Ω |
0.332515089375 |
Real period |
R |
4.5106875500354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110b1 |
Quadratic twists by: 5 |