Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21960d |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
7914338101233810000 = 24 · 320 · 54 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516918,-46285967] |
[a1,a2,a3,a4,a6] |
Generators |
[1784:68625:1] |
Generators of the group modulo torsion |
j |
1309607540948125696/678526929118125 |
j-invariant |
L |
4.2307617390229 |
L(r)(E,1)/r! |
Ω |
0.1883999604943 |
Real period |
R |
1.8713564340825 |
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 |
43920l1 7320p1 109800bs1 |
Quadratic twists by: -4 -3 5 |