Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976df |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67092480 |
Modular degree for the optimal curve |
Δ |
-4.477738961878E+21 |
Discriminant |
Eigenvalues |
2- 2 3 -2 11- 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4907046369,132307275256961] |
[a1,a2,a3,a4,a6] |
Generators |
[199697280737808393626800:1624483011800123398047201:5053391897341856921] |
Generators of the group modulo torsion |
j |
-361585288790756017/123904 |
j-invariant |
L |
11.769233046377 |
L(r)(E,1)/r! |
Ω |
0.082399957431297 |
Real period |
R |
35.707642980852 |
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 |
118976p1 29744t1 118976cg1 |
Quadratic twists by: -4 8 13 |