Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512bl |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1505028126672 = 24 · 32 · 710 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6239,-182358] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:36:1] |
Generators of the group modulo torsion |
j |
14270199808/799533 |
j-invariant |
L |
7.0804240917364 |
L(r)(E,1)/r! |
Ω |
0.53905080351389 |
Real period |
R |
3.2837461912574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024u1 6216q1 |
Quadratic twists by: -4 -7 |