Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206f |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7295726987862012 = 22 · 38 · 79 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49842,1218888] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:2322:1] |
Generators of the group modulo torsion |
j |
465484375/248004 |
j-invariant |
L |
4.4750049092481 |
L(r)(E,1)/r! |
Ω |
0.3664177137043 |
Real period |
R |
1.5266063637725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24402ba2 73206m2 |
Quadratic twists by: -3 -7 |