Atkin-Lehner |
2+ 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474g |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1126578004770816 = -1 · 214 · 33 · 135 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -5 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6459,1600853] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:919:1] [154:2419:1] |
Generators of the group modulo torsion |
j |
160900419519/6083264512 |
j-invariant |
L |
6.2491221326228 |
L(r)(E,1)/r! |
Ω |
0.3697064364287 |
Real period |
R |
0.42257325790731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474bl1 84474bg1 |
Quadratic twists by: -3 -19 |