Atkin-Lehner |
5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
31205c |
Isogeny class |
Conductor |
31205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-12002443116349375 = -1 · 54 · 797 |
Discriminant |
Eigenvalues |
-1 0 5- 4 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41737,-6198776] |
[a1,a2,a3,a4,a6] |
Generators |
[140051151645238102898:-4152329199541832570166:154905199921096379] |
Generators of the group modulo torsion |
j |
-33076161/49375 |
j-invariant |
L |
4.4014146684994 |
L(r)(E,1)/r! |
Ω |
0.1585681557554 |
Real period |
R |
27.757241972902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
395a1 |
Quadratic twists by: -79 |