Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23712i |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-23146326528 = -1 · 29 · 3 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -4 5 1 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1080,15144] |
[a1,a2,a3,a4,a6] |
Generators |
[2:114:1] |
Generators of the group modulo torsion |
j |
-272349812168/45207669 |
j-invariant |
L |
6.0382539520993 |
L(r)(E,1)/r! |
Ω |
1.157867485175 |
Real period |
R |
0.86916307053142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23712l1 47424t1 71136bg1 |
Quadratic twists by: -4 8 -3 |