Atkin-Lehner |
3- 5- 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
25185f |
Isogeny class |
Conductor |
25185 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6115150070330625 = 38 · 54 · 234 · 732 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55105,-3265600] |
[a1,a2,a3,a4,a6] |
j |
18505346649413803921/6115150070330625 |
j-invariant |
L |
2.5588121704212 |
L(r)(E,1)/r! |
Ω |
0.31985152130265 |
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 |
75555d2 125925h2 |
Quadratic twists by: -3 5 |