Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bt |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1902604921875 = -1 · 32 · 57 · 76 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -4 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1633,-71606] |
[a1,a2,a3,a4,a6] |
Generators |
[1354:17021:8] |
Generators of the group modulo torsion |
j |
-262144/1035 |
j-invariant |
L |
6.2009974712209 |
L(r)(E,1)/r! |
Ω |
0.34284962766323 |
Real period |
R |
4.5216597722238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905o1 1725a1 |
Quadratic twists by: 5 -7 |