Atkin-Lehner |
7- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62279b |
Isogeny class |
Conductor |
62279 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
227138924201 = 78 · 312 · 41 |
Discriminant |
Eigenvalues |
1 -2 2 7- -6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1545,-4609] |
[a1,a2,a3,a4,a6] |
j |
3463512697/1930649 |
j-invariant |
L |
0.81724971411543 |
L(r)(E,1)/r! |
Ω |
0.81724972390058 |
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 |
8897a1 |
Quadratic twists by: -7 |