Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850f |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-70060920692000000 = -1 · 28 · 56 · 76 · 533 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30138701,63682159048] |
[a1,a2,a3,a4,a6] |
Generators |
[90849:473962:27] |
Generators of the group modulo torsion |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
6.1624860699121 |
L(r)(E,1)/r! |
Ω |
0.25114070833518 |
Real period |
R |
1.0224159032848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999512756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194n2 2650b2 |
Quadratic twists by: 5 -7 |