Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150cj |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
496420312500 = 22 · 33 · 58 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10880,-432753] |
[a1,a2,a3,a4,a6] |
Generators |
[249:3375:1] |
Generators of the group modulo torsion |
j |
337589698347/1176700 |
j-invariant |
L |
11.118179031734 |
L(r)(E,1)/r! |
Ω |
0.46755906001345 |
Real period |
R |
2.9723996534151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999354692 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150j2 25830b2 |
Quadratic twists by: -3 5 |