Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336ba |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
538399228928698368 = 211 · 39 · 7 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203619,-2097538] |
[a1,a2,a3,a4,a6] |
Generators |
[466:2052:1] |
Generators of the group modulo torsion |
j |
625347088535234/360617624829 |
j-invariant |
L |
9.2492978752035 |
L(r)(E,1)/r! |
Ω |
0.24499618501427 |
Real period |
R |
2.3595515004436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112p3 |
Quadratic twists by: -3 |