Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124s |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2889021439361933568 = -1 · 28 · 318 · 72 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,67425,81499318] |
[a1,a2,a3,a4,a6] |
Generators |
[73630:2255526:125] |
Generators of the group modulo torsion |
j |
181643174750000/15480438954057 |
j-invariant |
L |
6.2470093359779 |
L(r)(E,1)/r! |
Ω |
0.19450902520611 |
Real period |
R |
8.029202410202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708i2 |
Quadratic twists by: -3 |