Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432r |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
459984 = 24 · 3 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[698:6549:8] |
Generators of the group modulo torsion |
j |
49948672/28749 |
j-invariant |
L |
5.1475055297459 |
L(r)(E,1)/r! |
Ω |
2.5261575632221 |
Real period |
R |
4.0753637894069 |
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 |
6216l1 49728dv1 37296bb1 87024i1 |
Quadratic twists by: -4 8 -3 -7 |