Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21660h |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
12228165389520 = 24 · 32 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7701,200970] |
[a1,a2,a3,a4,a6] |
Generators |
[-390:5415:8] |
Generators of the group modulo torsion |
j |
67108864/16245 |
j-invariant |
L |
3.5906536519762 |
L(r)(E,1)/r! |
Ω |
0.6693551309668 |
Real period |
R |
2.6821738460344 |
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 |
86640di1 64980bn1 108300cb1 1140b1 |
Quadratic twists by: -4 -3 5 -19 |