Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150cm |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
1627968037500000 = 25 · 33 · 58 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-527480,147573147] |
[a1,a2,a3,a4,a6] |
Generators |
[449:-1275:1] |
Generators of the group modulo torsion |
j |
38473096570521003/3858887200 |
j-invariant |
L |
11.361768252138 |
L(r)(E,1)/r! |
Ω |
0.45436159323232 |
Real period |
R |
0.41676674625577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150m2 25830g2 |
Quadratic twists by: -3 5 |