Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270be |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
6.4319023297266E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-567205553,-5054122789919] |
[a1,a2,a3,a4,a6] |
Generators |
[-1715005:-46768292:125] |
Generators of the group modulo torsion |
j |
1025306807522344388849109483/32677449218750000000000 |
j-invariant |
L |
7.6678769682564 |
L(r)(E,1)/r! |
Ω |
0.030996467257124 |
Real period |
R |
8.2459687041637 |
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 |
18270k1 91350a3 127890ds3 |
Quadratic twists by: -3 5 -7 |