Atkin-Lehner |
3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10815i |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
32445 = 32 · 5 · 7 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-173040,-27720045] |
[a1,a2,a3,a4,a6] |
Generators |
[5766:116343:8] |
Generators of the group modulo torsion |
j |
573011566227780744961/32445 |
j-invariant |
L |
3.6071437053085 |
L(r)(E,1)/r! |
Ω |
0.23407924876754 |
Real period |
R |
7.7049625806233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32445d4 54075n4 75705e4 |
Quadratic twists by: -3 5 -7 |