Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850cl |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
46448640 |
Modular degree for the optimal curve |
Δ |
8.7326444053788E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-262396251,-809383320602] |
[a1,a2,a3,a4,a6] |
j |
3168795413730153943/1384979642449920 |
j-invariant |
L |
3.12345636141 |
L(r)(E,1)/r! |
Ω |
0.039043205008618 |
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 |
16170br1 80850s1 |
Quadratic twists by: 5 -7 |