Atkin-Lehner |
3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59829j |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-334846818999 = -1 · 33 · 77 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1518,16155] |
[a1,a2,a3,a4,a6] |
Generators |
[27:264:1] |
Generators of the group modulo torsion |
j |
3288008303/2846151 |
j-invariant |
L |
5.8526775519199 |
L(r)(E,1)/r! |
Ω |
0.62514821452557 |
Real period |
R |
1.560343988842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8547c1 |
Quadratic twists by: -7 |