Atkin-Lehner |
2+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850b |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4744548872000000 = 29 · 56 · 76 · 712 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -6 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-80950,8188500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1077:91525:27] |
Generators of the group modulo torsion |
j |
3754590942390625/303651127808 |
j-invariant |
L |
4.919332878656 |
L(r)(E,1)/r! |
Ω |
0.42376228175478 |
Real period |
R |
5.8043543402273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
994g2 |
Quadratic twists by: 5 |