Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550do |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
625 |
Product of Tamagawa factors cp |
deg |
1620000 |
Modular degree for the optimal curve |
Δ |
243245448481996800 = 225 · 35 · 52 · 75 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-361178,80076132] |
[a1,a2,a3,a4,a6] |
Generators |
[-684:3030:1] |
Generators of the group modulo torsion |
j |
208423960893151923145/9729817939279872 |
j-invariant |
L |
12.434089684975 |
L(r)(E,1)/r! |
Ω |
0.30886526845749 |
Real period |
R |
1.6102930247454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000317 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
74550y2 |
Quadratic twists by: 5 |