Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244z |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
717301847808 = 28 · 38 · 7 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20499015,-35722973666] |
[a1,a2,a3,a4,a6] |
Generators |
[23955:-3635878:1] |
Generators of the group modulo torsion |
j |
5104523390173559602000/3843567 |
j-invariant |
L |
6.6335419542475 |
L(r)(E,1)/r! |
Ω |
0.070952271931646 |
Real period |
R |
7.7910847360772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748o2 |
Quadratic twists by: -3 |