Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040y |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-2710676800 = -1 · 26 · 52 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,313,1316] |
[a1,a2,a3,a4,a6] |
Generators |
[32:210:1] |
Generators of the group modulo torsion |
j |
52987905216/42354325 |
j-invariant |
L |
5.5023758539757 |
L(r)(E,1)/r! |
Ω |
0.92572762066639 |
Real period |
R |
2.9719194553833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79040p1 39520a2 |
Quadratic twists by: -4 8 |