Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218c |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1086800 |
Modular degree for the optimal curve |
Δ |
-354150938919277764 = -1 · 22 · 319 · 116 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 11- -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5339006,-4750617912] |
[a1,a2,a3,a4,a6] |
Generators |
[1129122403178236519912109198:-21798661723342768111027969082:398837766530347934907599] |
Generators of the group modulo torsion |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
4.3915620576062 |
L(r)(E,1)/r! |
Ω |
0.049659677850764 |
Real period |
R |
44.216578194522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93654br1 258e1 |
Quadratic twists by: -3 -11 |