Atkin-Lehner |
3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
12201k |
Isogeny class |
Conductor |
12201 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-29294601 = -1 · 3 · 76 · 83 |
Discriminant |
Eigenvalues |
1 3- 1 7- -3 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,72,-101] |
[a1,a2,a3,a4,a6] |
j |
357911/249 |
j-invariant |
L |
2.3682693756517 |
L(r)(E,1)/r! |
Ω |
1.1841346878258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36603o1 249b1 |
Quadratic twists by: -3 -7 |