Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bt |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
588810675600000000 = 210 · 36 · 58 · 74 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-448008,-109504512] |
[a1,a2,a3,a4,a6] |
Generators |
[-408:2352:1] |
Generators of the group modulo torsion |
j |
621529871800324/36800667225 |
j-invariant |
L |
9.43251925559 |
L(r)(E,1)/r! |
Ω |
0.1852175865088 |
Real period |
R |
2.121945542535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090533 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360g2 |
Quadratic twists by: 5 |