Atkin-Lehner |
2+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360be |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-1653760 = -1 · 210 · 5 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 5 2 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-24] |
[a1,a2,a3,a4,a6] |
Generators |
[2555:8387:343] |
Generators of the group modulo torsion |
j |
2370816/1615 |
j-invariant |
L |
9.455564715541 |
L(r)(E,1)/r! |
Ω |
1.5094125587765 |
Real period |
R |
6.2644004520506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360cp1 6460c1 |
Quadratic twists by: -4 8 |