Atkin-Lehner |
3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72963h |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-352809449091 = -1 · 310 · 113 · 672 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-716,-29334] |
[a1,a2,a3,a4,a6] |
Generators |
[47:174:1] |
Generators of the group modulo torsion |
j |
-41781923/363609 |
j-invariant |
L |
3.1384024634453 |
L(r)(E,1)/r! |
Ω |
0.40475234786898 |
Real period |
R |
1.938470819649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24321a2 72963g2 |
Quadratic twists by: -3 -11 |