Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424bf |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-60723965952 = -1 · 212 · 35 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,967,2919] |
[a1,a2,a3,a4,a6] |
Generators |
[10:117:1] |
Generators of the group modulo torsion |
j |
24389000000/14825187 |
j-invariant |
L |
7.0400846520978 |
L(r)(E,1)/r! |
Ω |
0.68210427515017 |
Real period |
R |
1.0321126708296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424b2 23712d1 |
Quadratic twists by: -4 8 |