Atkin-Lehner |
5+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68425c |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
74383313219140625 = 58 · 73 · 176 · 23 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-208817,-34251784] |
[a1,a2,a3,a4,a6] |
j |
64446956450965089/4760532046025 |
j-invariant |
L |
1.3462662628601 |
L(r)(E,1)/r! |
Ω |
0.22437771197509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13685c1 |
Quadratic twists by: 5 |