Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490x |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6092800 |
Modular degree for the optimal curve |
Δ |
-2.8046194404352E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -3 -2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1536075,1089497061] |
[a1,a2,a3,a4,a6] |
Generators |
[225:27369:1] |
Generators of the group modulo torsion |
j |
-18456465033174511/12914016300000 |
j-invariant |
L |
2.8571792551606 |
L(r)(E,1)/r! |
Ω |
0.15998795951854 |
Real period |
R |
4.464678569418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830bv1 86490w1 |
Quadratic twists by: -3 -31 |