Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244h |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
56777200107264 = 28 · 39 · 74 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675351,213619950] |
[a1,a2,a3,a4,a6] |
Generators |
[447:1026:1] |
Generators of the group modulo torsion |
j |
6760535476549104/11267893 |
j-invariant |
L |
4.3146992287766 |
L(r)(E,1)/r! |
Ω |
0.53574167100163 |
Real period |
R |
0.67114112740671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62244f2 |
Quadratic twists by: -3 |