Atkin-Lehner |
2- 3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bm |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
861710192640 = 212 · 38 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54302,-4856659] |
[a1,a2,a3,a4,a6] |
j |
24290483646693529/1182044160 |
j-invariant |
L |
7.5060029855497 |
L(r)(E,1)/r! |
Ω |
0.31275012448753 |
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 |
17490f1 |
Quadratic twists by: -3 |