Atkin-Lehner |
3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
116487b |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
205632 |
Modular degree for the optimal curve |
Δ |
17123589 = 33 · 73 · 432 |
Discriminant |
Eigenvalues |
0 3+ -3 7+ 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-49794,-4276748] |
[a1,a2,a3,a4,a6] |
j |
273497953959936/343 |
j-invariant |
L |
0.63919915366384 |
L(r)(E,1)/r! |
Ω |
0.31959891845976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116487a2 116487c1 |
Quadratic twists by: -3 -43 |