Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21960c |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10416418560 = -1 · 28 · 37 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,537,1082] |
[a1,a2,a3,a4,a6] |
Generators |
[7:72:1] [23:160:1] |
Generators of the group modulo torsion |
j |
91765424/55815 |
j-invariant |
L |
6.7958956304443 |
L(r)(E,1)/r! |
Ω |
0.79019451951563 |
Real period |
R |
4.3001409542872 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43920d2 7320m2 109800bm2 |
Quadratic twists by: -4 -3 5 |