Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920a |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-24521199360 = -1 · 28 · 3 · 5 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236,-7584] |
[a1,a2,a3,a4,a6] |
Generators |
[49:310:1] |
Generators of the group modulo torsion |
j |
-5702413264/95785935 |
j-invariant |
L |
4.2501233588827 |
L(r)(E,1)/r! |
Ω |
0.51390405670267 |
Real period |
R |
4.1351331084564 |
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 |
15960g1 127680gd1 95760bh1 |
Quadratic twists by: -4 8 -3 |