Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450cu |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
68196188736000 = 29 · 38 · 53 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10253,-43503] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-1241:1] [-92:397:1] |
Generators of the group modulo torsion |
j |
953606535007589/545569509888 |
j-invariant |
L |
15.27803296987 |
L(r)(E,1)/r! |
Ω |
0.5141935779277 |
Real period |
R |
0.20633756572235 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450ba2 |
Quadratic twists by: 5 |