Atkin-Lehner |
2- 3- 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104304r |
Isogeny class |
Conductor |
104304 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-12736770048 = -1 · 212 · 33 · 41 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -3 -4 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,571,1587] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:21:1] [22:159:1] |
Generators of the group modulo torsion |
j |
5017776128/3109563 |
j-invariant |
L |
11.099113054013 |
L(r)(E,1)/r! |
Ω |
0.78107552869195 |
Real period |
R |
2.3683396898168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6519a1 |
Quadratic twists by: -4 |