Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25432s |
Isogeny class |
Conductor |
25432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
558144 |
Modular degree for the optimal curve |
Δ |
-686921697663390464 = -1 · 28 · 113 · 1710 |
Discriminant |
Eigenvalues |
2- -1 -1 2 11+ 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6375436,-6194025628] |
[a1,a2,a3,a4,a6] |
j |
-55529565136/1331 |
j-invariant |
L |
0.1900209335888 |
L(r)(E,1)/r! |
Ω |
0.047505233397249 |
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 |
50864r1 25432z1 |
Quadratic twists by: -4 17 |