Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904be |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-22061669843180736 = -1 · 26 · 36 · 197 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 3 -2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305947,-65424419] |
[a1,a2,a3,a4,a6] |
Generators |
[17335988:1016136711:4913] |
Generators of the group modulo torsion |
j |
-49486159972538348032/344713591299699 |
j-invariant |
L |
4.3447696753128 |
L(r)(E,1)/r! |
Ω |
0.10145586828743 |
Real period |
R |
10.706058071724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904bq1 41952r1 |
Quadratic twists by: -4 8 |