Atkin-Lehner |
3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4515d |
Isogeny class |
Conductor |
4515 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
167222548828125 = 33 · 510 · 73 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 4 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46592,-3840081] |
[a1,a2,a3,a4,a6] |
j |
11185936158472314121/167222548828125 |
j-invariant |
L |
1.6262368281028 |
L(r)(E,1)/r! |
Ω |
0.32524736562057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240dh2 13545e2 22575p2 31605s2 |
Quadratic twists by: -4 -3 5 -7 |