Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230bd |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
3072 |
Product of Tamagawa factors cp |
Δ |
2.0022063058404E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1124140,-405194608] |
[a1,a2,a3,a4,a6] |
Generators |
[-736:5228:1] |
Generators of the group modulo torsion |
j |
157103167278508648839361/20022063058404000000 |
j-invariant |
L |
8.1943535879424 |
L(r)(E,1)/r! |
Ω |
0.14785000418735 |
Real period |
R |
0.28866367080463 |
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 |
81840ce2 30690i2 51150a2 112530be2 |
Quadratic twists by: -4 -3 5 -11 |