Atkin-Lehner |
3+ 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
15045d |
Isogeny class |
Conductor |
15045 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
458362850625 = 36 · 54 · 172 · 592 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3897,86184] |
[a1,a2,a3,a4,a6] |
j |
6547704148252441/458362850625 |
j-invariant |
L |
1.8376089961712 |
L(r)(E,1)/r! |
Ω |
0.9188044980856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45135g2 75225m2 |
Quadratic twists by: -3 5 |