Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976cy |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3398073536 = -1 · 26 · 11 · 136 |
Discriminant |
Eigenvalues |
2- -1 1 -4 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1915,-31747] |
[a1,a2,a3,a4,a6] |
Generators |
[11980:101231:125] |
Generators of the group modulo torsion |
j |
-2515456/11 |
j-invariant |
L |
3.9306332410686 |
L(r)(E,1)/r! |
Ω |
0.36074044122392 |
Real period |
R |
5.4480074257278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976bx1 59488o1 704g1 |
Quadratic twists by: -4 8 13 |