Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466bo |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-50183056 = -1 · 24 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 2 1 7- 11- -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,35,-317] |
[a1,a2,a3,a4,a6] |
Generators |
[37:212:1] |
Generators of the group modulo torsion |
j |
8947391/94864 |
j-invariant |
L |
16.473845757053 |
L(r)(E,1)/r! |
Ω |
0.98746499510817 |
Real period |
R |
1.0426854266536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81466ba1 |
Quadratic twists by: -23 |