Atkin-Lehner |
2- 3+ 5- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
90630br |
Isogeny class |
Conductor |
90630 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
2983829616000000 = 210 · 33 · 56 · 194 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-865532,310141631] |
[a1,a2,a3,a4,a6] |
Generators |
[-7882:118697:8] [-819:22069:1] |
Generators of the group modulo torsion |
j |
2655882544636157979843/110512208000000 |
j-invariant |
L |
15.779261900919 |
L(r)(E,1)/r! |
Ω |
0.42336824513654 |
Real period |
R |
0.3105897777696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90630c2 |
Quadratic twists by: -3 |