Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656dj |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-26819336011776 = -1 · 216 · 3 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6736,-127404] |
[a1,a2,a3,a4,a6] |
Generators |
[12744:121485:512] |
Generators of the group modulo torsion |
j |
4657463/3696 |
j-invariant |
L |
6.4462204480402 |
L(r)(E,1)/r! |
Ω |
0.37105530375475 |
Real period |
R |
8.6863337928445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082r1 121968fu1 3696u1 |
Quadratic twists by: -4 -3 -11 |