Atkin-Lehner |
2- 3+ 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546bd |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
-2.83747400356E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-322712,-265741157] |
[a1,a2,a3,a4,a6] |
Generators |
[1133:28105:1] |
Generators of the group modulo torsion |
j |
-137658816343439001603/1050916297614819328 |
j-invariant |
L |
10.993050619264 |
L(r)(E,1)/r! |
Ω |
0.088464192422239 |
Real period |
R |
0.94140560366737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84546b1 |
Quadratic twists by: -3 |