Atkin-Lehner |
2+ 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105616i |
Isogeny class |
Conductor |
105616 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
157877708527504 = 24 · 7 · 233 · 415 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 5 1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79159,8550981] |
[a1,a2,a3,a4,a6] |
Generators |
[52:2139:1] |
Generators of the group modulo torsion |
j |
3428503736486485248/9867356782969 |
j-invariant |
L |
5.5560279749509 |
L(r)(E,1)/r! |
Ω |
0.57795365373194 |
Real period |
R |
3.2044253402542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999539554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52808a1 |
Quadratic twists by: -4 |