Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474cg |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1185700066751363904 = -1 · 26 · 313 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -2 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-656366,211438653] |
[a1,a2,a3,a4,a6] |
Generators |
[3197:173847:1] |
Generators of the group modulo torsion |
j |
-911826451873/34572096 |
j-invariant |
L |
12.004115957999 |
L(r)(E,1)/r! |
Ω |
0.27189200598154 |
Real period |
R |
0.45989904720882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158e1 4446d1 |
Quadratic twists by: -3 -19 |