Atkin-Lehner |
3- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
14193a |
Isogeny class |
Conductor |
14193 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-456388697031291 = -1 · 320 · 19 · 832 |
Discriminant |
Eigenvalues |
0 3- 1 -5 3 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40782,-3332412] |
[a1,a2,a3,a4,a6] |
j |
-10289677060440064/626047595379 |
j-invariant |
L |
0.66955269400518 |
L(r)(E,1)/r! |
Ω |
0.16738817350129 |
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 |
4731c1 |
Quadratic twists by: -3 |