Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11532a |
Isogeny class |
Conductor |
11532 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-40938769797168 = -1 · 24 · 3 · 318 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8969,-446082] |
[a1,a2,a3,a4,a6] |
Generators |
[1357303407488:-58867532665313:719323136] |
Generators of the group modulo torsion |
j |
-5619712/2883 |
j-invariant |
L |
3.8361094848937 |
L(r)(E,1)/r! |
Ω |
0.23949204039993 |
Real period |
R |
16.017690936566 |
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 |
46128bb1 34596l1 372b1 |
Quadratic twists by: -4 -3 -31 |