Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830l |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-13515065200 = -1 · 24 · 52 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,391,-4835] |
[a1,a2,a3,a4,a6] |
Generators |
[46:307:1] |
Generators of the group modulo torsion |
j |
1367631/2800 |
j-invariant |
L |
3.3643362478184 |
L(r)(E,1)/r! |
Ω |
0.65471505264103 |
Real period |
R |
2.5693133480338 |
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 |
94640cj1 106470ew1 59150bd1 82810e1 |
Quadratic twists by: -4 -3 5 -7 |