Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11928i |
Isogeny class |
Conductor |
11928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3278716729344 = -1 · 211 · 32 · 7 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1008,-86580] |
[a1,a2,a3,a4,a6] |
Generators |
[6407927825:-87997026824:34328125] |
Generators of the group modulo torsion |
j |
55251546334/1600935903 |
j-invariant |
L |
4.8682713118774 |
L(r)(E,1)/r! |
Ω |
0.38406362816104 |
Real period |
R |
12.675689534017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23856i3 95424bc3 35784n3 83496t3 |
Quadratic twists by: -4 8 -3 -7 |