Atkin-Lehner |
2- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25172g |
Isogeny class |
Conductor |
25172 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-242125040742195968 = -1 · 28 · 79 · 293 · 312 |
Discriminant |
Eigenvalues |
2- 1 0 7- -6 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-745253,-249007945] |
[a1,a2,a3,a4,a6] |
j |
-178811533779951616000/945800940399203 |
j-invariant |
L |
1.4619371851295 |
L(r)(E,1)/r! |
Ω |
0.081218732507208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100688l2 |
Quadratic twists by: -4 |