Atkin-Lehner |
2- 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bb |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-4431551448881375000 = -1 · 23 · 56 · 73 · 133 · 196 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,192612,-95834219] |
[a1,a2,a3,a4,a6] |
Generators |
[2375:116137:1] |
Generators of the group modulo torsion |
j |
50577058483418375/283619292728408 |
j-invariant |
L |
8.3858903312965 |
L(r)(E,1)/r! |
Ω |
0.12297945864462 |
Real period |
R |
1.8941488328001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458c2 |
Quadratic twists by: 5 |