Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472de |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5955410157174259712 = 221 · 76 · 176 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-656993,168227585] |
[a1,a2,a3,a4,a6] |
Generators |
[30283:5267892:1] |
Generators of the group modulo torsion |
j |
4956477625/941192 |
j-invariant |
L |
11.467344979383 |
L(r)(E,1)/r! |
Ω |
0.22731987222434 |
Real period |
R |
4.2038211090537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472l4 32368bd4 448f4 |
Quadratic twists by: -4 8 17 |