Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360cf |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-52920320 = -1 · 215 · 5 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- -4 5 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-383] |
[a1,a2,a3,a4,a6] |
Generators |
[17:56:1] |
Generators of the group modulo torsion |
j |
-941192/1615 |
j-invariant |
L |
4.8818676394171 |
L(r)(E,1)/r! |
Ω |
0.7933641853272 |
Real period |
R |
1.5383438520609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999419144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360cl1 51680g1 |
Quadratic twists by: -4 8 |