Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970bt |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
335453770190000 = 24 · 54 · 78 · 11 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24331000,46192236432] |
[a1,a2,a3,a4,a6] |
Generators |
[2854:-2002:1] |
Generators of the group modulo torsion |
j |
13539896648340897220849/2851310000 |
j-invariant |
L |
6.7851347441197 |
L(r)(E,1)/r! |
Ω |
0.31578912902887 |
Real period |
R |
0.6714463617939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999515761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710e2 |
Quadratic twists by: -7 |