Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350g |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
15303680000000 = 216 · 57 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9917,332741] |
[a1,a2,a3,a4,a6] |
Generators |
[29:248:1] |
Generators of the group modulo torsion |
j |
6903498885921/979435520 |
j-invariant |
L |
3.78930211862 |
L(r)(E,1)/r! |
Ω |
0.67206582537008 |
Real period |
R |
1.4095725357458 |
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 |
4270h1 |
Quadratic twists by: 5 |