Atkin-Lehner |
2- 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752cg |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-255309925104 = -1 · 24 · 311 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 5 2 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,987,21179] |
[a1,a2,a3,a4,a6] |
j |
9116489984/21888711 |
j-invariant |
L |
4.1170409170372 |
L(r)(E,1)/r! |
Ω |
0.68617349591972 |
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 |
19188q1 25584s1 |
Quadratic twists by: -4 -3 |