Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
75852h |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-372983823778608 = -1 · 24 · 37 · 78 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15288,-577955] |
[a1,a2,a3,a4,a6] |
j |
287965184/271803 |
j-invariant |
L |
1.1721787520766 |
L(r)(E,1)/r! |
Ω |
0.29304468928336 |
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 |
25284k1 10836h1 |
Quadratic twists by: -3 -7 |