Atkin-Lehner |
2+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174a |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
121332231507968 = 212 · 136 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 2 2 2 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68561,6906589] |
[a1,a2,a3,a4,a6] |
Generators |
[2030:18251:8] |
Generators of the group modulo torsion |
j |
7384117376817/25137152 |
j-invariant |
L |
6.3429877437999 |
L(r)(E,1)/r! |
Ω |
0.5912133673926 |
Real period |
R |
2.6821905935416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646d1 |
Quadratic twists by: 13 |