Atkin-Lehner |
2- 3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bu |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
279936 |
Modular degree for the optimal curve |
Δ |
23125975875000 = 23 · 36 · 56 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7163,27281] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:538:1] |
Generators of the group modulo torsion |
j |
2601311308777/1480062456 |
j-invariant |
L |
6.4710746693449 |
L(r)(E,1)/r! |
Ω |
0.58051431822248 |
Real period |
R |
0.61928558281406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218e1 |
Quadratic twists by: 5 |