Atkin-Lehner |
2- 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
75152g |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-145033657964577536 = -1 · 28 · 712 · 11 · 612 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-135899037,609824609329] |
[a1,a2,a3,a4,a6] |
Generators |
[8325:235298:1] |
Generators of the group modulo torsion |
j |
-1084258630708363764462542848/566537726424131 |
j-invariant |
L |
2.2270104686823 |
L(r)(E,1)/r! |
Ω |
0.19902011838245 |
Real period |
R |
1.3987345139811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18788a2 |
Quadratic twists by: -4 |