Atkin-Lehner |
3- 5- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185y |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
669696 |
Modular degree for the optimal curve |
Δ |
-209201073046875 = -1 · 39 · 58 · 7 · 132 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -5 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-345162,78054840] |
[a1,a2,a3,a4,a6] |
Generators |
[548:-7313:1] [-310:12460:1] |
Generators of the group modulo torsion |
j |
-6238283596502892544/286969921875 |
j-invariant |
L |
9.8564811186264 |
L(r)(E,1)/r! |
Ω |
0.5296163332064 |
Real period |
R |
0.29079072496215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31395j1 |
Quadratic twists by: -3 |