Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872cf |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-4136405981397516288 = -1 · 228 · 35 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212088,-104896044] |
[a1,a2,a3,a4,a6] |
j |
-44681709625/175177728 |
j-invariant |
L |
3.0479384499877 |
L(r)(E,1)/r! |
Ω |
0.10159794833293 |
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 |
3234a1 103488es1 77616eg1 25872bs1 |
Quadratic twists by: -4 8 -3 -7 |