Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275m |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
831205488561328125 = 35 · 58 · 710 · 31 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ -3 -4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-962458,361094193] |
[a1,a2,a3,a4,a6] |
Generators |
[50198347038:298585116175:75151448] |
Generators of the group modulo torsion |
j |
252411704100843520/2127886050717 |
j-invariant |
L |
7.5785938971605 |
L(r)(E,1)/r! |
Ω |
0.28342655194817 |
Real period |
R |
13.369590543067 |
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 |
48825bu2 16275w1 113925da2 |
Quadratic twists by: -3 5 -7 |