Atkin-Lehner |
2+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320d |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-539392000000 = -1 · 214 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 3 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12741,558941] |
[a1,a2,a3,a4,a6] |
j |
-13962024825856/32921875 |
j-invariant |
L |
3.7068216752169 |
L(r)(E,1)/r! |
Ω |
0.92670546441562 |
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 |
96320bn1 12040b1 |
Quadratic twists by: -4 8 |