Atkin-Lehner |
2+ 3- 11+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526h |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-6.9899592377465E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11+ 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3775275,3097649029] |
[a1,a2,a3,a4,a6] |
Generators |
[4846:254671:8] |
Generators of the group modulo torsion |
j |
-8162853928086765524401/958842145095538176 |
j-invariant |
L |
3.2797107760388 |
L(r)(E,1)/r! |
Ω |
0.1563650085184 |
Real period |
R |
2.6218388042733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28842o1 |
Quadratic twists by: -3 |