Atkin-Lehner |
2+ 3- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270f |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-168382728720000 = -1 · 27 · 37 · 54 · 19 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10530,462996] |
[a1,a2,a3,a4,a6] |
Generators |
[243:4041:1] |
Generators of the group modulo torsion |
j |
177116123227679/230977680000 |
j-invariant |
L |
3.3018699214629 |
L(r)(E,1)/r! |
Ω |
0.3854218495962 |
Real period |
R |
0.35695411026703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090p1 |
Quadratic twists by: -3 |