Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192g |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-21926008832 = -1 · 211 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -3 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-7664] |
[a1,a2,a3,a4,a6] |
Generators |
[40:196:1] |
Generators of the group modulo torsion |
j |
-31250/91 |
j-invariant |
L |
3.2787656510654 |
L(r)(E,1)/r! |
Ω |
0.49149066901272 |
Real period |
R |
0.83388298542159 |
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 |
5096c1 40768co1 91728bi1 1456a1 |
Quadratic twists by: -4 8 -3 -7 |