Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7110l |
Isogeny class |
Conductor |
7110 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-349865325000000000 = -1 · 29 · 311 · 511 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,145881,18670333] |
[a1,a2,a3,a4,a6] |
Generators |
[797:24914:1] |
Generators of the group modulo torsion |
j |
470967245655003791/479925000000000 |
j-invariant |
L |
3.4445278301019 |
L(r)(E,1)/r! |
Ω |
0.20003687991382 |
Real period |
R |
0.39135145201792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56880bt1 2370g1 35550bs1 |
Quadratic twists by: -4 -3 5 |