Atkin-Lehner |
3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245i |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
772800 |
Modular degree for the optimal curve |
Δ |
-554468018056640625 = -1 · 3 · 510 · 710 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -6 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,201634,8391788] |
[a1,a2,a3,a4,a6] |
j |
3209478527759/1962890625 |
j-invariant |
L |
0.35942990817247 |
L(r)(E,1)/r! |
Ω |
0.1797149538273 |
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 |
49245x1 |
Quadratic twists by: -7 |