Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402d |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-5490221395529728 = -1 · 212 · 118 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 0 0 2 11- 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12062,3604244] |
[a1,a2,a3,a4,a6] |
Generators |
[2820:-51746:27] |
Generators of the group modulo torsion |
j |
-905441625/25612288 |
j-invariant |
L |
5.0195059616538 |
L(r)(E,1)/r! |
Ω |
0.35825544189038 |
Real period |
R |
1.167580758185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402bf1 |
Quadratic twists by: -11 |