Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19881o |
Isogeny class |
Conductor |
19881 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
1107984764452581 = 37 · 477 |
Discriminant |
Eigenvalues |
-2 3- -1 -3 1 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-523533,-145793448] |
[a1,a2,a3,a4,a6] |
Generators |
[893:9940:1] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
1.7990743610306 |
L(r)(E,1)/r! |
Ω |
0.1774865136251 |
Real period |
R |
1.2670500453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6627h1 423f1 |
Quadratic twists by: -3 -47 |