Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950bz |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
4499712 |
Modular degree for the optimal curve |
Δ |
-3.8108672E+19 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 4 -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-729105,-381439103] |
[a1,a2,a3,a4,a6] |
j |
-1142565739056441/1015808000000 |
j-invariant |
L |
9.9254569887614 |
L(r)(E,1)/r! |
Ω |
0.078773468394578 |
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 |
15190m1 75950cy1 |
Quadratic twists by: 5 -7 |