Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030x |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
506756250000 = 24 · 34 · 58 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2523,-34922] |
[a1,a2,a3,a4,a6] |
Generators |
[59:120:1] |
Generators of the group modulo torsion |
j |
1775121145174441/506756250000 |
j-invariant |
L |
5.7775441639086 |
L(r)(E,1)/r! |
Ω |
0.68829493078633 |
Real period |
R |
0.52462468353756 |
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 |
90090cx1 |
Quadratic twists by: -3 |