Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553u |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-1939818699 = -1 · 310 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-74,2127] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:46:1] |
Generators of the group modulo torsion |
j |
-124244857/5373459 |
j-invariant |
L |
6.1012275435339 |
L(r)(E,1)/r! |
Ω |
1.2274567124214 |
Real period |
R |
0.49706254035184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553d1 |
Quadratic twists by: -19 |