Atkin-Lehner |
5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
31205d |
Isogeny class |
Conductor |
31205 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-300061077908734375 = -1 · 56 · 797 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-249770,54778987] |
[a1,a2,a3,a4,a6] |
Generators |
[-3898:64359:8] |
Generators of the group modulo torsion |
j |
-7088952961/1234375 |
j-invariant |
L |
2.3105114399565 |
L(r)(E,1)/r! |
Ω |
0.29537374625492 |
Real period |
R |
1.3037219620069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
395b1 |
Quadratic twists by: -79 |