Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25024p |
Isogeny class |
Conductor |
25024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-1967086592 = -1 · 210 · 174 · 23 |
Discriminant |
Eigenvalues |
2- -3 0 -2 4 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1780,28984] |
[a1,a2,a3,a4,a6] |
Generators |
[53:289:1] |
Generators of the group modulo torsion |
j |
-609093216000/1920983 |
j-invariant |
L |
3.0023861159178 |
L(r)(E,1)/r! |
Ω |
1.4817772868724 |
Real period |
R |
1.0131030292193 |
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 |
25024d1 6256g1 |
Quadratic twists by: -4 8 |