Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168co |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
40642560 |
Modular degree for the optimal curve |
Δ |
-6.0454677876742E+25 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -5 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2474997445,-47394869839309] |
[a1,a2,a3,a4,a6] |
Generators |
[511402:59663553:8] |
Generators of the group modulo torsion |
j |
-409343623062978363908240429056/14759442841001398216731 |
j-invariant |
L |
9.1557464191566 |
L(r)(E,1)/r! |
Ω |
0.010702246033765 |
Real period |
R |
3.9606373050707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5073e1 |
Quadratic twists by: -4 |