Atkin-Lehner |
11- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
98857f |
Isogeny class |
Conductor |
98857 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-695446018140467 = -1 · 119 · 193 · 43 |
Discriminant |
Eigenvalues |
2 1 2 0 11- -7 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-41422,3470319] |
[a1,a2,a3,a4,a6] |
j |
-4436814573568/392561147 |
j-invariant |
L |
2.9873088015721 |
L(r)(E,1)/r! |
Ω |
0.497884835901 |
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 |
8987b1 |
Quadratic twists by: -11 |