Atkin-Lehner |
2- 3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30552k |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-44804385792 = -1 · 210 · 33 · 192 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 6 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,152,10108] |
[a1,a2,a3,a4,a6] |
Generators |
[62:504:1] |
Generators of the group modulo torsion |
j |
376785500/43754283 |
j-invariant |
L |
5.7898629883418 |
L(r)(E,1)/r! |
Ω |
0.87365408319986 |
Real period |
R |
3.3135900693875 |
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 |
61104l2 91656e2 |
Quadratic twists by: -4 -3 |