Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960q |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
43181250000 = 24 · 3 · 58 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2511,46560] |
[a1,a2,a3,a4,a6] |
Generators |
[37192:257397:512] |
Generators of the group modulo torsion |
j |
109475468621824/2698828125 |
j-invariant |
L |
8.4958943451127 |
L(r)(E,1)/r! |
Ω |
1.1386081739268 |
Real period |
R |
7.4616488244803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480o1 |
Quadratic twists by: -4 |