Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525j |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-1189128076171875 = -1 · 32 · 511 · 76 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 4 0 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-895883,326684168] |
[a1,a2,a3,a4,a6] |
j |
-43258336804864/646875 |
j-invariant |
L |
1.7800433370949 |
L(r)(E,1)/r! |
Ω |
0.44501082962072 |
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 |
16905bc1 1725m1 |
Quadratic twists by: 5 -7 |