Atkin-Lehner |
2- 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244d |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19140633517824 = 28 · 39 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17631,876150] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1242:1] |
Generators of the group modulo torsion |
j |
120288273264/3798613 |
j-invariant |
L |
4.6574305487242 |
L(r)(E,1)/r! |
Ω |
0.68307756191972 |
Real period |
R |
3.4091520553992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62244c2 |
Quadratic twists by: -3 |