Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710y |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7696341263424000 = -1 · 29 · 3 · 53 · 119 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1423563309,20673347280232] |
[a1,a2,a3,a4,a6] |
Generators |
[559232324230:-279587836462:25672375] |
Generators of the group modulo torsion |
j |
-180093466903641160790448289/4344384000 |
j-invariant |
L |
6.0755598103936 |
L(r)(E,1)/r! |
Ω |
0.14967824728755 |
Real period |
R |
10.147700017361 |
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 |
5610bf2 |
Quadratic twists by: -11 |