Atkin-Lehner |
3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1575h |
Isogeny class |
Conductor |
1575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
17222625 = 39 · 53 · 7 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 6 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162,-729] |
[a1,a2,a3,a4,a6] |
Generators |
[30:129:1] |
Generators of the group modulo torsion |
j |
5177717/189 |
j-invariant |
L |
3.3705457573634 |
L(r)(E,1)/r! |
Ω |
1.3408159143166 |
Real period |
R |
2.5138020226151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200fw1 100800hi1 525d1 1575j1 |
Quadratic twists by: -4 8 -3 5 |