Atkin-Lehner |
3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453z |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-704729627847 = -1 · 32 · 78 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1518,-33237] |
[a1,a2,a3,a4,a6] |
Generators |
[3231:182061:1] |
Generators of the group modulo torsion |
j |
3288008303/5990103 |
j-invariant |
L |
6.0664039207123 |
L(r)(E,1)/r! |
Ω |
0.47363578531151 |
Real period |
R |
3.202040514947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779a1 |
Quadratic twists by: -7 |