Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928q |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
144166480128 = 28 · 311 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7815,265286] |
[a1,a2,a3,a4,a6] |
Generators |
[97:648:1] |
Generators of the group modulo torsion |
j |
282841522000/772497 |
j-invariant |
L |
5.1453470728381 |
L(r)(E,1)/r! |
Ω |
1.0352969314928 |
Real period |
R |
1.2424810014213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13464d1 107712df1 8976a1 |
Quadratic twists by: -4 8 -3 |