Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800cc |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-9611264000000 = -1 · 217 · 56 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4992,-63488] |
[a1,a2,a3,a4,a6] |
j |
214921799/150176 |
j-invariant |
L |
1.6425541386808 |
L(r)(E,1)/r! |
Ω |
0.41063850552445 |
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 |
12350o1 3952g1 |
Quadratic twists by: -4 5 |