Atkin-Lehner |
2+ 3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550o |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
1727426250000 = 24 · 35 · 57 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29376,1934398] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:1326:1] [92:66:1] |
Generators of the group modulo torsion |
j |
179415687049201/110555280 |
j-invariant |
L |
9.0820041630577 |
L(r)(E,1)/r! |
Ω |
0.82995082482628 |
Real period |
R |
0.54714110109701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510l1 |
Quadratic twists by: 5 |