Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825bl |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
10344339140625 = 39 · 57 · 7 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4257005,-3379617628] |
[a1,a2,a3,a4,a6] |
j |
749011598724977281/908145 |
j-invariant |
L |
0.84084028310341 |
L(r)(E,1)/r! |
Ω |
0.10510503534916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16275t1 9765e1 |
Quadratic twists by: -3 5 |