Atkin-Lehner |
2- 5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050ct |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-5227432000 = -1 · 26 · 53 · 7 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -5 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-468,-5419] |
[a1,a2,a3,a4,a6] |
j |
-90700411157/41819456 |
j-invariant |
L |
6.0249298837906 |
L(r)(E,1)/r! |
Ω |
0.50207751532348 |
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 |
113050bh1 |
Quadratic twists by: 5 |