Atkin-Lehner |
3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
86247k |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-12665630691 = -1 · 36 · 73 · 373 |
Discriminant |
Eigenvalues |
0 3- -3 7+ -3 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-444,-6503] |
[a1,a2,a3,a4,a6] |
Generators |
[37:166:1] |
Generators of the group modulo torsion |
j |
-262144/343 |
j-invariant |
L |
2.0378127334407 |
L(r)(E,1)/r! |
Ω |
0.49586923066945 |
Real period |
R |
1.0273942276647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999625839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9583a1 86247j1 |
Quadratic twists by: -3 37 |