Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100d |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
74077200 = 24 · 33 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105,5] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:19:1] |
Generators of the group modulo torsion |
j |
11854080/6859 |
j-invariant |
L |
5.1571386058464 |
L(r)(E,1)/r! |
Ω |
1.6408558644257 |
Real period |
R |
0.52382608345384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400df1 17100c2 17100j1 |
Quadratic twists by: -4 -3 5 |