Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880o |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-938921303501280000 = -1 · 28 · 322 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-352401,92925099] |
[a1,a2,a3,a4,a6] |
Generators |
[174:6075:1] |
Generators of the group modulo torsion |
j |
-18905857301773210624/3667661341801875 |
j-invariant |
L |
5.1645845963979 |
L(r)(E,1)/r! |
Ω |
0.26779099228539 |
Real period |
R |
0.43831542518943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440c1 |
Quadratic twists by: -4 |