Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244r |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-84917503367424 = -1 · 28 · 312 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5217,418966] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1368:1] |
Generators of the group modulo torsion |
j |
84143142704/455019201 |
j-invariant |
L |
5.4687678013809 |
L(r)(E,1)/r! |
Ω |
0.43733110864938 |
Real period |
R |
2.0841446726038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20748k1 |
Quadratic twists by: -3 |