Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432bc |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-447676416 = -1 · 216 · 33 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,-190] |
[a1,a2,a3,a4,a6] |
Generators |
[2:14:1] |
Generators of the group modulo torsion |
j |
6751269/4048 |
j-invariant |
L |
5.1893836981342 |
L(r)(E,1)/r! |
Ω |
0.97288745445284 |
Real period |
R |
2.6670010361337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4554b1 36432w1 |
Quadratic twists by: -4 -3 |