Atkin-Lehner |
2+ 3- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778k |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1729728 |
Modular degree for the optimal curve |
Δ |
271950671269043712 = 29 · 37 · 119 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -4 3 11+ 1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-163353,-4044548] |
[a1,a2,a3,a4,a6] |
Generators |
[494:5742:1] |
Generators of the group modulo torsion |
j |
204440562971/115333632 |
j-invariant |
L |
4.8351596691245 |
L(r)(E,1)/r! |
Ω |
0.25580397824123 |
Real period |
R |
1.3501296976874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74778bk1 |
Quadratic twists by: -11 |