Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900z |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
4554577037340000000 = 28 · 35 · 57 · 116 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85686908,305266513188] |
[a1,a2,a3,a4,a6] |
Generators |
[8368:-417450:1] |
Generators of the group modulo torsion |
j |
17394307399558330233424/1138644259335 |
j-invariant |
L |
8.6012308232759 |
L(r)(E,1)/r! |
Ω |
0.18519359476371 |
Real period |
R |
0.25802520737449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180d2 |
Quadratic twists by: 5 |