Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bq |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-198910672896 = -1 · 228 · 3 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1215,14367] |
[a1,a2,a3,a4,a6] |
Generators |
[-1355:792:125] |
Generators of the group modulo torsion |
j |
756058031/758784 |
j-invariant |
L |
8.2083015179123 |
L(r)(E,1)/r! |
Ω |
0.66216831471029 |
Real period |
R |
6.1980476379952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424cn1 1482g1 |
Quadratic twists by: -4 8 |