Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872bq |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-156571001815536 = -1 · 24 · 311 · 73 · 115 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22682,-1438569] |
[a1,a2,a3,a4,a6] |
Generators |
[22745:81557:125] |
Generators of the group modulo torsion |
j |
-235165059164416/28529701497 |
j-invariant |
L |
3.0316983929079 |
L(r)(E,1)/r! |
Ω |
0.19319881107917 |
Real period |
R |
7.8460586169593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6468t1 103488iv1 77616gt1 25872cq1 |
Quadratic twists by: -4 8 -3 -7 |