Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13328p |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-94452058017243136 = -1 · 213 · 714 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,102949,-7549430] |
[a1,a2,a3,a4,a6] |
Generators |
[128909:2428770:1331] |
Generators of the group modulo torsion |
j |
250404380127/196003234 |
j-invariant |
L |
3.7595750734662 |
L(r)(E,1)/r! |
Ω |
0.18816282871985 |
Real period |
R |
9.9902172470626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1666k4 53312bs3 119952gl3 1904c4 |
Quadratic twists by: -4 8 -3 -7 |