Atkin-Lehner |
2+ 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
15130g |
Isogeny class |
Conductor |
15130 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
2.03736041E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3911168,2896585806] |
[a1,a2,a3,a4,a6] |
Generators |
[980:1762:1] |
Generators of the group modulo torsion |
j |
6616723177256303360716921/203736041000000000000 |
j-invariant |
L |
2.8542289323285 |
L(r)(E,1)/r! |
Ω |
0.17743008214193 |
Real period |
R |
4.0216248815763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121040w1 75650bd1 |
Quadratic twists by: -4 5 |