Atkin-Lehner |
2- 3+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4794f |
Isogeny class |
Conductor |
4794 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
42496 |
Modular degree for the optimal curve |
Δ |
-47211926360688 = -1 · 24 · 32 · 178 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-334083,-74464047] |
[a1,a2,a3,a4,a6] |
j |
-4123698682768504296625/47211926360688 |
j-invariant |
L |
1.5886405450277 |
L(r)(E,1)/r! |
Ω |
0.099290034064234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38352t1 14382a1 119850w1 81498x1 |
Quadratic twists by: -4 -3 5 17 |