Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150ck |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4902912 |
Modular degree for the optimal curve |
Δ |
1130907524414062500 = 22 · 39 · 513 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7708880,8240019247] |
[a1,a2,a3,a4,a6] |
Generators |
[-17290699:-2809173245:24389] |
Generators of the group modulo torsion |
j |
164735120039575203/3677187500 |
j-invariant |
L |
11.243425663517 |
L(r)(E,1)/r! |
Ω |
0.25405121836843 |
Real period |
R |
11.064132682073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150k1 25830c1 |
Quadratic twists by: -3 5 |