Atkin-Lehner |
2- 5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bq |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-188840981000000 = -1 · 26 · 56 · 7 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14337,-22183] |
[a1,a2,a3,a4,a6] |
j |
20858191412183/12085822784 |
j-invariant |
L |
2.0236029912837 |
L(r)(E,1)/r! |
Ω |
0.33726725968453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522c1 |
Quadratic twists by: 5 |