Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096bg |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-260861534208 = -1 · 213 · 36 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,909,22194] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:72:1] [15:-198:1] |
Generators of the group modulo torsion |
j |
27818127/87362 |
j-invariant |
L |
7.2259534279981 |
L(r)(E,1)/r! |
Ω |
0.6935132820615 |
Real period |
R |
0.65120899762359 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3762f2 120384cz2 3344d2 |
Quadratic twists by: -4 8 -3 |