Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24986g |
Isogeny class |
Conductor |
24986 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-8.8601350962352E+23 |
Discriminant |
Eigenvalues |
2- -1 3 -1 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24648709,65331568779] |
[a1,a2,a3,a4,a6] |
Generators |
[1259155:113886964:125] |
Generators of the group modulo torsion |
j |
-1866105028152018577/998320940624384 |
j-invariant |
L |
7.7007391501536 |
L(r)(E,1)/r! |
Ω |
0.082474485030199 |
Real period |
R |
2.5936436069807 |
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 |
806e2 |
Quadratic twists by: -31 |