Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512bm |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
33177600 |
Modular degree for the optimal curve |
Δ |
-1.0386030575101E+26 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105941733,-253498268522] |
[a1,a2,a3,a4,a6] |
Generators |
[29594:5366592:1] |
Generators of the group modulo torsion |
j |
88078001139996067754062/69565212506841479043 |
j-invariant |
L |
8.8052133326819 |
L(r)(E,1)/r! |
Ω |
0.033163787858754 |
Real period |
R |
3.3188357927308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504h1 |
Quadratic twists by: -3 |