Atkin-Lehner |
2- 5- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
77050t |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1574400 |
Modular degree for the optimal curve |
Δ |
42289971200000000 = 220 · 58 · 23 · 672 |
Discriminant |
Eigenvalues |
2- -2 5- 3 -3 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1370263,-617416983] |
[a1,a2,a3,a4,a6] |
Generators |
[-682:405:1] [-674:605:1] |
Generators of the group modulo torsion |
j |
728409313853938705/108262326272 |
j-invariant |
L |
11.972902897616 |
L(r)(E,1)/r! |
Ω |
0.13954119682729 |
Real period |
R |
2.1450480520901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050d1 |
Quadratic twists by: 5 |