Atkin-Lehner |
3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92925bm |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
2401618899955078125 = 311 · 59 · 76 · 59 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -1 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21048375,-37168505469] |
[a1,a2,a3,a4,a6] |
j |
724305632602886144/1686733713 |
j-invariant |
L |
3.3832663546749 |
L(r)(E,1)/r! |
Ω |
0.070484718923054 |
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 |
30975bf1 92925bc1 |
Quadratic twists by: -3 5 |