Atkin-Lehner |
2+ 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550q |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-970448663700000000 = -1 · 28 · 39 · 58 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26667,-47419259] |
[a1,a2,a3,a4,a6] |
Generators |
[710:-17419:1] |
Generators of the group modulo torsion |
j |
-184122897769/85197139200 |
j-invariant |
L |
3.8749363911104 |
L(r)(E,1)/r! |
Ω |
0.12499992929102 |
Real period |
R |
0.6458230971756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850u1 7110v1 |
Quadratic twists by: -3 5 |