Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
65296be |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-2629458427904 = -1 · 215 · 72 · 11 · 533 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 11- 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8083,290386] |
[a1,a2,a3,a4,a6] |
Generators |
[103:742:1] |
Generators of the group modulo torsion |
j |
-14258751510249/641957624 |
j-invariant |
L |
3.0893243508801 |
L(r)(E,1)/r! |
Ω |
0.80252687372683 |
Real period |
R |
0.32079137078619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162b1 |
Quadratic twists by: -4 |