Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920s |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-5254107586560 = -1 · 213 · 39 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2136,117360] |
[a1,a2,a3,a4,a6] |
j |
-263251475929/1282741110 |
j-invariant |
L |
1.327428721572 |
L(r)(E,1)/r! |
Ω |
0.66371436078564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3990n1 127680ga1 95760el1 |
Quadratic twists by: -4 8 -3 |