Atkin-Lehner |
2+ 3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384j |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
193730422929408 = 211 · 32 · 236 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23208,-1192428] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:414:1] [1434:5301:8] |
Generators of the group modulo torsion |
j |
675033957031250/94594933071 |
j-invariant |
L |
12.205950921102 |
L(r)(E,1)/r! |
Ω |
0.39040512733795 |
Real period |
R |
5.2108054199917 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192a2 |
Quadratic twists by: -4 |