Atkin-Lehner |
2+ 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470q |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
73221453916554240 = 210 · 38 · 5 · 114 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104724,837328] |
[a1,a2,a3,a4,a6] |
j |
174235715269869889/100440951874560 |
j-invariant |
L |
2.3519011759168 |
L(r)(E,1)/r! |
Ω |
0.29398764693373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490t1 |
Quadratic twists by: -3 |