Atkin-Lehner |
2+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124270b |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
75871620637700 = 22 · 52 · 177 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10844,-116058] |
[a1,a2,a3,a4,a6] |
Generators |
[126:659:1] |
Generators of the group modulo torsion |
j |
5841725401/3143300 |
j-invariant |
L |
3.2602230958579 |
L(r)(E,1)/r! |
Ω |
0.49807035731355 |
Real period |
R |
0.81821354299547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999993930158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7310j1 |
Quadratic twists by: 17 |