Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
71100v |
Isogeny class |
Conductor |
71100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
1727730000 = 24 · 37 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:27:1] [-10:45:1] |
Generators of the group modulo torsion |
j |
409600/237 |
j-invariant |
L |
9.6467309813196 |
L(r)(E,1)/r! |
Ω |
1.2621534241162 |
Real period |
R |
0.21230758825528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23700o1 71100g1 |
Quadratic twists by: -3 5 |