Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206f |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-117200433539952 = -1 · 24 · 37 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11898,144612] |
[a1,a2,a3,a4,a6] |
Generators |
[24:654:1] |
Generators of the group modulo torsion |
j |
6331625/3984 |
j-invariant |
L |
4.4750049092481 |
L(r)(E,1)/r! |
Ω |
0.3664177137043 |
Real period |
R |
3.0532127275449 |
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 |
24402ba1 73206m1 |
Quadratic twists by: -3 -7 |