Atkin-Lehner |
2+ 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174f |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
15441540764013572 = 22 · 136 · 17 · 196 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 0 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-772841,-261502824] |
[a1,a2,a3,a4,a6] |
Generators |
[-506:506:1] [1249:26246:1] |
Generators of the group modulo torsion |
j |
10576287595212625/3199119908 |
j-invariant |
L |
5.8576750508791 |
L(r)(E,1)/r! |
Ω |
0.16102190746704 |
Real period |
R |
9.0945312061638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646e3 |
Quadratic twists by: 13 |