Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208f |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-1427967948847104 = -1 · 211 · 35 · 76 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 2 -4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-290096,60263904] |
[a1,a2,a3,a4,a6] |
j |
-11205525764162/5926527 |
j-invariant |
L |
0.94635596324459 |
L(r)(E,1)/r! |
Ω |
0.47317797683384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104w1 1392e1 |
Quadratic twists by: -4 -7 |