Atkin-Lehner |
2+ 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192i |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-1.008020028984E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-573632,-226681068] |
[a1,a2,a3,a4,a6] |
Generators |
[1774:65892:1] |
Generators of the group modulo torsion |
j |
-10192826413808348546/4921972797773529 |
j-invariant |
L |
7.1584081542054 |
L(r)(E,1)/r! |
Ω |
0.084784271954128 |
Real period |
R |
2.6384640648911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15096f4 120768ct3 90576d3 |
Quadratic twists by: -4 8 -3 |