Atkin-Lehner |
2+ 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672q |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-31712617691136 = -1 · 211 · 36 · 23 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5949,-205470] |
[a1,a2,a3,a4,a6] |
Generators |
[34:190:1] [61:620:1] |
Generators of the group modulo torsion |
j |
15595458174/21240983 |
j-invariant |
L |
7.8055521254784 |
L(r)(E,1)/r! |
Ω |
0.3505198417324 |
Real period |
R |
2.7835628667639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51336e3 11408a4 |
Quadratic twists by: -4 -3 |