Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976dj |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-226484617216 = -1 · 216 · 112 · 134 |
Discriminant |
Eigenvalues |
2- -2 1 2 11- 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-23009] |
[a1,a2,a3,a4,a6] |
Generators |
[34:99:1] |
Generators of the group modulo torsion |
j |
-676/121 |
j-invariant |
L |
4.965659485941 |
L(r)(E,1)/r! |
Ω |
0.4426942726546 |
Real period |
R |
2.8042261637968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976k1 29744b1 118976ck1 |
Quadratic twists by: -4 8 13 |