Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575bh |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
176000 |
Modular degree for the optimal curve |
Δ |
-330005826171875 = -1 · 59 · 7 · 176 |
Discriminant |
Eigenvalues |
2 -1 5- 7- 3 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,12042,-714807] |
[a1,a2,a3,a4,a6] |
Generators |
[332823337518:-15575557784777:152273304] |
Generators of the group modulo torsion |
j |
4096/7 |
j-invariant |
L |
10.169652923828 |
L(r)(E,1)/r! |
Ω |
0.28466922113489 |
Real period |
R |
17.862227752064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50575bc1 175c1 |
Quadratic twists by: 5 17 |