Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350dp |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-2313846000000 = -1 · 27 · 37 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11488,478592] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-496:1] [-88:944:1] |
Generators of the group modulo torsion |
j |
-20285403817/279936 |
j-invariant |
L |
15.951740108744 |
L(r)(E,1)/r! |
Ω |
0.82140968894496 |
Real period |
R |
0.09908140873106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3174b1 79350dn1 |
Quadratic twists by: 5 -23 |