Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36456b |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2393268664752 = -1 · 24 · 33 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3103,-98804] |
[a1,a2,a3,a4,a6] |
j |
-1755904000/1271403 |
j-invariant |
L |
1.2399376161393 |
L(r)(E,1)/r! |
Ω |
0.30998440404151 |
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 |
72912bb1 109368bo1 5208d1 |
Quadratic twists by: -4 -3 -7 |