Atkin-Lehner |
2+ 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470o |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-14755442496814800 = -1 · 24 · 36 · 52 · 112 · 535 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-597474,178002468] |
[a1,a2,a3,a4,a6] |
j |
-32355910526720313889/20240661861200 |
j-invariant |
L |
3.1231744081407 |
L(r)(E,1)/r! |
Ω |
0.39039680108498 |
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 |
5830e1 |
Quadratic twists by: -3 |