Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24986f |
Isogeny class |
Conductor |
24986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.8913001165427E+25 |
Discriminant |
Eigenvalues |
2- 1 1 3 -2 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,64276465,-66616567837] |
[a1,a2,a3,a4,a6] |
Generators |
[8298276107002213425062785302925994785927549058970:-16730202566616768823249829242758106298754479397706361:2042576828773993078561815729544428503823000] |
Generators of the group modulo torsion |
j |
33090970201326732239/21310335461500826 |
j-invariant |
L |
10.723985411671 |
L(r)(E,1)/r! |
Ω |
0.039340902663542 |
Real period |
R |
68.147809821414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
806f2 |
Quadratic twists by: -31 |