Atkin-Lehner |
2- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
26288j |
Isogeny class |
Conductor |
26288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-53407121408 = -1 · 220 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3 -2 2 0 -5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-451,11714] |
[a1,a2,a3,a4,a6] |
j |
-2476813977/13038848 |
j-invariant |
L |
3.8836408571586 |
L(r)(E,1)/r! |
Ω |
0.97091021428957 |
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 |
3286c1 105152u1 |
Quadratic twists by: -4 8 |