Atkin-Lehner |
2+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040m |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1826140160 = -1 · 212 · 5 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39,2041] |
[a1,a2,a3,a4,a6] |
Generators |
[15:76:1] |
Generators of the group modulo torsion |
j |
1560896/445835 |
j-invariant |
L |
4.2409581383187 |
L(r)(E,1)/r! |
Ω |
1.1507552153564 |
Real period |
R |
0.6142282451747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040i1 39520c1 |
Quadratic twists by: -4 8 |