Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24510q |
Isogeny class |
Conductor |
24510 |
Conductor |
∏ cp |
704 |
Product of Tamagawa factors cp |
Δ |
1.8470704385855E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1812092941,-29690739511279] |
[a1,a2,a3,a4,a6] |
Generators |
[235010:111793151:1] |
Generators of the group modulo torsion |
j |
658059431397928037221595991689809/18470704385855324160000 |
j-invariant |
L |
8.1009313580738 |
L(r)(E,1)/r! |
Ω |
0.02313952492544 |
Real period |
R |
7.9566057174078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73530p2 122550d2 |
Quadratic twists by: -3 5 |