Atkin-Lehner |
2+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
77326d |
Isogeny class |
Conductor |
77326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
4.4335371083368E+19 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 -2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2207468,1221605840] |
[a1,a2,a3,a4,a6] |
Generators |
[-174680:5049652:125] [-953:50066:1] |
Generators of the group modulo torsion |
j |
250440136856937/9333557504 |
j-invariant |
L |
6.1693780574958 |
L(r)(E,1)/r! |
Ω |
0.20091715767631 |
Real period |
R |
7.6765196772061 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886c1 |
Quadratic twists by: 41 |