Atkin-Lehner |
2+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25024d |
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 |
[1808122899:30720515329:6128487] |
Generators of the group modulo torsion |
j |
-609093216000/1920983 |
j-invariant |
L |
9.8121931651161 |
L(r)(E,1)/r! |
Ω |
0.36743670702753 |
Real period |
R |
13.352222270461 |
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 |
25024p1 1564a1 |
Quadratic twists by: -4 8 |