Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11830w |
Isogeny class |
Conductor |
11830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-3711574780550 = -1 · 2 · 52 · 7 · 139 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1095,91727] |
[a1,a2,a3,a4,a6] |
Generators |
[-1964:11967:64] |
Generators of the group modulo torsion |
j |
30080231/768950 |
j-invariant |
L |
8.2776292393376 |
L(r)(E,1)/r! |
Ω |
0.59107668245039 |
Real period |
R |
1.750540472393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94640cy1 106470bd1 59150l1 82810by1 |
Quadratic twists by: -4 -3 5 -7 |