Atkin-Lehner |
3- 5+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205u |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-2.3820055475308E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21577,7425559622] |
[a1,a2,a3,a4,a6] |
Generators |
[9502:925560:1] |
Generators of the group modulo torsion |
j |
1524011478638039/32674973217157569375 |
j-invariant |
L |
3.5356470139863 |
L(r)(E,1)/r! |
Ω |
0.095181303755821 |
Real period |
R |
9.2866112876187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998152248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735q1 |
Quadratic twists by: -3 |