Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825bw |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
4985155783125 = 37 · 54 · 76 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -5 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5025,-85194] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:17:1] [-46:-221:1] |
Generators of the group modulo torsion |
j |
30798131200/10941357 |
j-invariant |
L |
5.0889435124129 |
L(r)(E,1)/r! |
Ω |
0.58368899950392 |
Real period |
R |
0.12109149061544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16275z1 48825v1 |
Quadratic twists by: -3 5 |