Atkin-Lehner |
2- 3- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bl |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
369008640000 = 216 · 32 · 54 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2321,31401] |
[a1,a2,a3,a4,a6] |
Generators |
[10:91:1] |
Generators of the group modulo torsion |
j |
1382804639990929/369008640000 |
j-invariant |
L |
9.041552291064 |
L(r)(E,1)/r! |
Ω |
0.89142415681933 |
Real period |
R |
0.63392607645703 |
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 |
90090bo1 |
Quadratic twists by: -3 |