Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550cb |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
3122376262500000 = 25 · 3 · 58 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-82811388,-290063806608] |
[a1,a2,a3,a4,a6] |
Generators |
[-5254:2630:1] |
Generators of the group modulo torsion |
j |
160780683094770543727585/7993283232 |
j-invariant |
L |
12.787502535115 |
L(r)(E,1)/r! |
Ω |
0.050046883527114 |
Real period |
R |
2.8390051786502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999995249 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550a2 |
Quadratic twists by: 5 |