Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710x |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
915928216473600 = 212 · 33 · 52 · 117 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-320774,-69938728] |
[a1,a2,a3,a4,a6] |
Generators |
[758:10692:1] |
Generators of the group modulo torsion |
j |
2060455000819249/517017600 |
j-invariant |
L |
5.5266499096023 |
L(r)(E,1)/r! |
Ω |
0.20061179620797 |
Real period |
R |
4.5914962912031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610bi1 |
Quadratic twists by: -11 |