Atkin-Lehner |
2- 3- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990z |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-163721582454375000 = -1 · 23 · 311 · 57 · 114 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 1 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8207852,9052985351] |
[a1,a2,a3,a4,a6] |
Generators |
[3051:109849:1] |
Generators of the group modulo torsion |
j |
-83885072604253291454329/224583789375000 |
j-invariant |
L |
13.41546876385 |
L(r)(E,1)/r! |
Ω |
0.28020485349372 |
Real period |
R |
0.142492144034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33330d1 |
Quadratic twists by: -3 |