Atkin-Lehner |
3- 5- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79335m |
Isogeny class |
Conductor |
79335 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
2470045640625 = 37 · 56 · 412 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 4 2 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40284,-3101085] |
[a1,a2,a3,a4,a6] |
j |
9917449778202049/3388265625 |
j-invariant |
L |
4.0439525233465 |
L(r)(E,1)/r! |
Ω |
0.33699604728814 |
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 |
26445g1 |
Quadratic twists by: -3 |