Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675a |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-204367893779296875 = -1 · 3 · 510 · 178 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,120417,14602193] |
[a1,a2,a3,a4,a6] |
Generators |
[6445:572013:125] |
Generators of the group modulo torsion |
j |
819200/867 |
j-invariant |
L |
2.7204831578574 |
L(r)(E,1)/r! |
Ω |
0.20987887394427 |
Real period |
R |
6.4810790784492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025be1 21675v1 1275e1 |
Quadratic twists by: -3 5 17 |