Atkin-Lehner |
3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24225d |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6949546875 = 34 · 56 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2613,-52344] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:27:1] [-29:23:1] |
Generators of the group modulo torsion |
j |
126279339913/444771 |
j-invariant |
L |
4.3910215322725 |
L(r)(E,1)/r! |
Ω |
0.66789135197115 |
Real period |
R |
1.6436137102664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72675r2 969a2 |
Quadratic twists by: -3 5 |