Atkin-Lehner |
2- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
32830n |
Isogeny class |
Conductor |
32830 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-724589367292000000 = -1 · 28 · 56 · 79 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10912,40959811] |
[a1,a2,a3,a4,a6] |
Generators |
[181:-6791:1] |
Generators of the group modulo torsion |
j |
-3560550183/17956000000 |
j-invariant |
L |
8.8035661598626 |
L(r)(E,1)/r! |
Ω |
0.22870567691164 |
Real period |
R |
0.80193736686879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32830l1 |
Quadratic twists by: -7 |