Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675d |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
150087781191515625 = 34 · 56 · 179 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-166325,18213000] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:6260:1] |
Generators of the group modulo torsion |
j |
274625/81 |
j-invariant |
L |
3.0988472800847 |
L(r)(E,1)/r! |
Ω |
0.302066730611 |
Real period |
R |
5.1294084486177 |
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 |
65025bq1 867d1 21675q1 |
Quadratic twists by: -3 5 17 |