Atkin-Lehner |
2- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52700d |
Isogeny class |
Conductor |
52700 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
73181591500000000 = 28 · 59 · 173 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131908,13106312] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:1550:1] [-38:-4250:1] |
Generators of the group modulo torsion |
j |
63457129084624/18295397875 |
j-invariant |
L |
7.7886699499384 |
L(r)(E,1)/r! |
Ω |
0.32114160422319 |
Real period |
R |
0.22456546708032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10540b2 |
Quadratic twists by: 5 |