Atkin-Lehner |
2+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
27472c |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
439552 = 28 · 17 · 101 |
Discriminant |
Eigenvalues |
2+ 3 -2 3 5 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-796,-8644] |
[a1,a2,a3,a4,a6] |
Generators |
[662283:1016423:19683] |
Generators of the group modulo torsion |
j |
217882801152/1717 |
j-invariant |
L |
9.4397635244598 |
L(r)(E,1)/r! |
Ω |
0.89881744522796 |
Real period |
R |
10.502425798006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13736f1 109888u1 |
Quadratic twists by: -4 8 |