Atkin-Lehner |
2+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
84032g |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
100608 |
Modular degree for the optimal curve |
Δ |
-734383210496 = -1 · 215 · 133 · 1012 |
Discriminant |
Eigenvalues |
2+ 1 -3 -1 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3777,97151] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-104:1] [97:808:1] |
Generators of the group modulo torsion |
j |
-181898748296/22411597 |
j-invariant |
L |
10.251200199966 |
L(r)(E,1)/r! |
Ω |
0.87468286137397 |
Real period |
R |
0.48832938260351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84032h1 42016a1 |
Quadratic twists by: -4 8 |