Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490f |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-4.6056116021814E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,358376901,1960065400293] |
[a1,a2,a3,a4,a6] |
Generators |
[36867:8061174:1] |
Generators of the group modulo torsion |
j |
212427047662836354837/192200000000000000 |
j-invariant |
L |
4.2371460491742 |
L(r)(E,1)/r! |
Ω |
0.028383101944413 |
Real period |
R |
5.3315752808479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490bt2 2790c2 |
Quadratic twists by: -3 -31 |