Atkin-Lehner |
2- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200dk |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-38497664000 = -1 · 210 · 53 · 673 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1473,24217] |
[a1,a2,a3,a4,a6] |
Generators |
[16:67:1] [72:535:1] |
Generators of the group modulo torsion |
j |
-2763228416/300763 |
j-invariant |
L |
9.739210441557 |
L(r)(E,1)/r! |
Ω |
1.1216130687597 |
Real period |
R |
1.4472029487583 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200bc1 26800l1 107200cy1 |
Quadratic twists by: -4 8 5 |