Atkin-Lehner |
2- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
118096t |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-2246124379702016 = -1 · 28 · 119 · 612 |
Discriminant |
Eigenvalues |
2- -1 -3 2 11+ 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120677,16336201] |
[a1,a2,a3,a4,a6] |
Generators |
[81:2662:1] |
Generators of the group modulo torsion |
j |
-321978368/3721 |
j-invariant |
L |
4.5817773651039 |
L(r)(E,1)/r! |
Ω |
0.46348295319738 |
Real period |
R |
1.2356919927993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999401628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29524c1 118096q1 |
Quadratic twists by: -4 -11 |