Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
902a |
Isogeny class |
Conductor |
902 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
-1730960687104 = -1 · 218 · 115 · 41 |
Discriminant |
Eigenvalues |
2+ -2 3 1 11+ -6 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2382,77312] |
[a1,a2,a3,a4,a6] |
Generators |
[5:253:1] |
Generators of the group modulo torsion |
j |
-1493780780062297/1730960687104 |
j-invariant |
L |
1.5657216062722 |
L(r)(E,1)/r! |
Ω |
0.76022023424518 |
Real period |
R |
1.0297815920585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7216h1 28864h1 8118t1 22550r1 |
Quadratic twists by: -4 8 -3 5 |