Atkin-Lehner |
2+ 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30222c |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
300058250666326344 = 23 · 38 · 238 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-304758,59226700] |
[a1,a2,a3,a4,a6] |
Generators |
[525:-6875:1] [-3482:85369:8] |
Generators of the group modulo torsion |
j |
4294002864807457633/411602538636936 |
j-invariant |
L |
4.919869002829 |
L(r)(E,1)/r! |
Ω |
0.29859011808838 |
Real period |
R |
4.1192496877712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074q3 |
Quadratic twists by: -3 |