Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432bc |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1054851735748608 = -1 · 224 · 38 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2680,1560816] |
[a1,a2,a3,a4,a6] |
j |
519524563319/257532162048 |
j-invariant |
L |
1.5301375568546 |
L(r)(E,1)/r! |
Ω |
0.38253438921365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554f1 49728el1 37296bt1 87024du1 |
Quadratic twists by: -4 8 -3 -7 |