Atkin-Lehner |
3+ 5+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205f |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
701568 |
Modular degree for the optimal curve |
Δ |
-2050936766368875 = -1 · 33 · 53 · 79 · 11 · 372 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11- 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3357,2177598] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2719:1] |
Generators of the group modulo torsion |
j |
154957989040128/75960620976625 |
j-invariant |
L |
3.3381203548132 |
L(r)(E,1)/r! |
Ω |
0.36188733703766 |
Real period |
R |
0.25622771812424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998732023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128205k1 |
Quadratic twists by: -3 |