Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41140b |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
2915280781600000 = 28 · 55 · 118 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11- -6 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99381,-11742575] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:242:1] |
Generators of the group modulo torsion |
j |
1978138624/53125 |
j-invariant |
L |
2.2290407370436 |
L(r)(E,1)/r! |
Ω |
0.26933039390945 |
Real period |
R |
0.91958129719325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41140f1 |
Quadratic twists by: -11 |