Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440cc |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16220160 |
Modular degree for the optimal curve |
Δ |
-5.2685253023775E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40197777,50723179922] |
[a1,a2,a3,a4,a6] |
Generators |
[-1211:16362:1] [2171:385000:1] |
Generators of the group modulo torsion |
j |
38491277763082389295664/28230695421690234375 |
j-invariant |
L |
11.010537308045 |
L(r)(E,1)/r! |
Ω |
0.048720914791362 |
Real period |
R |
14.124500425834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480e1 |
Quadratic twists by: -3 |