Atkin-Lehner |
2+ 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270k |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
8.8229112890625E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63022839,187210740573] |
[a1,a2,a3,a4,a6] |
j |
1025306807522344388849109483/32677449218750000000000 |
j-invariant |
L |
1.5887272548302 |
L(r)(E,1)/r! |
Ω |
0.088262625268346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
18270be3 91350dd1 127890l1 |
Quadratic twists by: -3 5 -7 |