Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52514k |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-184432103863648256 = -1 · 215 · 7 · 1110 · 31 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,137332,-6561590] |
[a1,a2,a3,a4,a6] |
Generators |
[92023464660:2946775518302:100544625] |
Generators of the group modulo torsion |
j |
161691571344239/104107114496 |
j-invariant |
L |
6.1882709062291 |
L(r)(E,1)/r! |
Ω |
0.18299465706515 |
Real period |
R |
16.908337668094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774h1 |
Quadratic twists by: -11 |