Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400bd |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-5.6692789837326E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5348033,-4894471563] |
[a1,a2,a3,a4,a6] |
Generators |
[8347:729350:1] |
Generators of the group modulo torsion |
j |
-4229081330325627904/141731974593315 |
j-invariant |
L |
5.0281542978275 |
L(r)(E,1)/r! |
Ω |
0.049541106421729 |
Real period |
R |
4.2289412612766 |
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 |
34800bh1 52200j1 3480i1 |
Quadratic twists by: -4 -3 5 |