Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825bq |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
23650162470703125 = 313 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 5 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-125625,-15458594] |
[a1,a2,a3,a4,a6] |
j |
30798131200/3322053 |
j-invariant |
L |
1.021446515818 |
L(r)(E,1)/r! |
Ω |
0.25536162889967 |
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 |
16275k1 48825bt1 |
Quadratic twists by: -3 5 |