Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bp |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
1701536169091554432 = 27 · 34 · 76 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9324494,10955316107] |
[a1,a2,a3,a4,a6] |
Generators |
[1965:-15977:1] |
Generators of the group modulo torsion |
j |
18575453384550358633/352517816448 |
j-invariant |
L |
8.952404755721 |
L(r)(E,1)/r! |
Ω |
0.2444811683899 |
Real period |
R |
0.43592824728517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
714a2 |
Quadratic twists by: 13 |