Atkin-Lehner |
2- 3- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778bk |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
153509064192 = 29 · 37 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 11+ -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1350,2916] |
[a1,a2,a3,a4,a6] |
Generators |
[54:270:1] [-34:116:1] |
Generators of the group modulo torsion |
j |
204440562971/115333632 |
j-invariant |
L |
13.78634396005 |
L(r)(E,1)/r! |
Ω |
0.8849399623539 |
Real period |
R |
0.12364164000688 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74778k1 |
Quadratic twists by: -11 |