Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ci |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-514827484803072 = -1 · 212 · 39 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29028,2194400] |
[a1,a2,a3,a4,a6] |
Generators |
[100:540:1] |
Generators of the group modulo torsion |
j |
-905915267776/172414683 |
j-invariant |
L |
9.2313487829141 |
L(r)(E,1)/r! |
Ω |
0.500926993108 |
Real period |
R |
2.3035664148654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bx2 38304br1 25536q2 |
Quadratic twists by: -4 8 -3 |