Atkin-Lehner |
3- 5+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205r |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2914595162325 = 312 · 52 · 72 · 112 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44010,-3541725] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:83:1] |
Generators of the group modulo torsion |
j |
12931706531187361/3998072925 |
j-invariant |
L |
6.1625980966876 |
L(r)(E,1)/r! |
Ω |
0.32962436620716 |
Real period |
R |
2.3369775799378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735r2 |
Quadratic twists by: -3 |