Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920bi |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
29025000000 = 26 · 33 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1293,15908] |
[a1,a2,a3,a4,a6] |
Generators |
[13:36:1] |
Generators of the group modulo torsion |
j |
138348848448/16796875 |
j-invariant |
L |
5.4443266445672 |
L(r)(E,1)/r! |
Ω |
1.1390200489275 |
Real period |
R |
2.3899169508389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920b1 123840t1 61920k1 |
Quadratic twists by: -4 8 -3 |