Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432g |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7820826714102528 = -1 · 28 · 35 · 72 · 376 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,46620,-1774224] |
[a1,a2,a3,a4,a6] |
Generators |
[185:3626:1] |
Generators of the group modulo torsion |
j |
43771480755468464/30550104351963 |
j-invariant |
L |
2.57576492512 |
L(r)(E,1)/r! |
Ω |
0.23495917751685 |
Real period |
R |
1.8271010254787 |
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 |
6216j2 49728eu2 37296bg2 87024bn2 |
Quadratic twists by: -4 8 -3 -7 |