Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920dl |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15143417856000000 = 217 · 38 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-573123,166896322] |
[a1,a2,a3,a4,a6] |
Generators |
[449:-288:1] [194:7938:1] |
Generators of the group modulo torsion |
j |
6972359126281921/5071500000 |
j-invariant |
L |
11.048731286797 |
L(r)(E,1)/r! |
Ω |
0.39031913370085 |
Real period |
R |
1.7691823069052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490j2 38640db2 |
Quadratic twists by: -4 -3 |