Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432bn |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3474209900593152 = -1 · 224 · 32 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,37792,226932] |
[a1,a2,a3,a4,a6] |
Generators |
[618:15207:8] |
Generators of the group modulo torsion |
j |
1457309849609375/848195776512 |
j-invariant |
L |
5.4357273871443 |
L(r)(E,1)/r! |
Ω |
0.26850289720383 |
Real period |
R |
5.0611440730728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554i1 49728db1 37296bm1 87024by1 |
Quadratic twists by: -4 8 -3 -7 |