Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600dc |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2064377754059776000 = -1 · 213 · 53 · 1710 |
Discriminant |
Eigenvalues |
2- -2 5- 3 3 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14059368,-20295494732] |
[a1,a2,a3,a4,a6] |
Generators |
[145639768698:-20690852792440:6967871] |
Generators of the group modulo torsion |
j |
-297756989/2 |
j-invariant |
L |
5.671716936241 |
L(r)(E,1)/r! |
Ω |
0.038983240010577 |
Real period |
R |
18.186395405763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450n2 115600db2 115600dg1 |
Quadratic twists by: -4 5 17 |