Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904bh |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-514099875151872 = -1 · 220 · 310 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,703,-1091103] |
[a1,a2,a3,a4,a6] |
Generators |
[12251:1355940:1] |
Generators of the group modulo torsion |
j |
146363183/1961135388 |
j-invariant |
L |
5.763463518138 |
L(r)(E,1)/r! |
Ω |
0.24099613114049 |
Real period |
R |
5.9787925743775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83904h1 20976i1 |
Quadratic twists by: -4 8 |