Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122018w |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-13607275941304448 = -1 · 27 · 138 · 194 |
Discriminant |
Eigenvalues |
2- -1 -4 -2 -3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17449845,28049357851] |
[a1,a2,a3,a4,a6] |
Generators |
[-3973:188224:1] [2449:-4436:1] |
Generators of the group modulo torsion |
j |
-934165699635529/21632 |
j-invariant |
L |
9.5125949613171 |
L(r)(E,1)/r! |
Ω |
0.28789779497665 |
Real period |
R |
0.78670403190447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386a1 122018i1 |
Quadratic twists by: 13 -19 |