Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72963i |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
23149017053374113 = 37 · 119 · 672 |
Discriminant |
Eigenvalues |
1 3- 0 0 11- -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114912,-13056125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1274:9349:8] |
Generators of the group modulo torsion |
j |
129938649625/17924577 |
j-invariant |
L |
6.5661707657304 |
L(r)(E,1)/r! |
Ω |
0.26167692755033 |
Real period |
R |
3.1365827827773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24321e1 6633e1 |
Quadratic twists by: -3 -11 |