Atkin-Lehner |
2+ 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74778t |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
831600 |
Modular degree for the optimal curve |
Δ |
-817282257758208 = -1 · 211 · 37 · 116 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11- 6 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22388,-1887118] |
[a1,a2,a3,a4,a6] |
Generators |
[360:5881:1] |
Generators of the group modulo torsion |
j |
-700463661841/461334528 |
j-invariant |
L |
5.6187041712881 |
L(r)(E,1)/r! |
Ω |
0.18955588808212 |
Real period |
R |
4.2344874271875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
618f1 |
Quadratic twists by: -11 |