Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818y |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2687825273292 = 22 · 33 · 196 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-207763,-36536731] |
[a1,a2,a3,a4,a6] |
Generators |
[15269110843:-5508435323952:117649] |
Generators of the group modulo torsion |
j |
21081759765625/57132 |
j-invariant |
L |
8.5926416034123 |
L(r)(E,1)/r! |
Ω |
0.22361841376733 |
Real period |
R |
19.2127326606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
138b2 |
Quadratic twists by: -19 |