Atkin-Lehner |
2- 3- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31620k |
Isogeny class |
Conductor |
31620 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-71458038000 = -1 · 24 · 37 · 53 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-450,-13527] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-1395:1] |
Generators of the group modulo torsion |
j |
-631256717056/4466127375 |
j-invariant |
L |
8.145727637176 |
L(r)(E,1)/r! |
Ω |
0.45957278464475 |
Real period |
R |
0.14067114981809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480be1 94860k1 |
Quadratic twists by: -4 -3 |