Atkin-Lehner |
2+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162h |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-4.5686996728674E+20 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 11+ -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1489591,753223309] |
[a1,a2,a3,a4,a6] |
Generators |
[885:-53017:1] |
Generators of the group modulo torsion |
j |
3106965472897304871/3883330646981632 |
j-invariant |
L |
1.627214471405 |
L(r)(E,1)/r! |
Ω |
0.11181195186419 |
Real period |
R |
1.8191419151536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166b1 |
Quadratic twists by: -7 |