Atkin-Lehner |
2+ 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488d |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4634873478144 = 210 · 39 · 72 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6291,-161730] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:108:1] |
Generators of the group modulo torsion |
j |
1366128396/229957 |
j-invariant |
L |
3.2678217197159 |
L(r)(E,1)/r! |
Ω |
0.5422082511134 |
Real period |
R |
1.5067189387769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998679891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124488ba2 |
Quadratic twists by: -3 |