Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512bm |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-100251648 = -1 · 211 · 33 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
964894/999 |
j-invariant |
L |
5.2139063972488 |
L(r)(E,1)/r! |
Ω |
1.0261763193194 |
Real period |
R |
1.6936356514568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024s1 43512s1 |
Quadratic twists by: -4 -7 |