Atkin-Lehner |
3- 5+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
25185c |
Isogeny class |
Conductor |
25185 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
169920 |
Modular degree for the optimal curve |
Δ |
-10065814875 = -1 · 32 · 53 · 23 · 733 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 1 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-577509,-168969929] |
[a1,a2,a3,a4,a6] |
j |
-21300946486747956377929/10065814875 |
j-invariant |
L |
4.3296218259933 |
L(r)(E,1)/r! |
Ω |
0.086592436519866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75555g1 125925m1 |
Quadratic twists by: -3 5 |