Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235p |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
-3.7244302492316E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -1 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27075828,-54307077822] |
[a1,a2,a3,a4,a6] |
Generators |
[6068:69457:1] |
Generators of the group modulo torsion |
j |
-21842779439104/37059435 |
j-invariant |
L |
3.8257442409582 |
L(r)(E,1)/r! |
Ω |
0.033088719381542 |
Real period |
R |
4.1293143235805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745v1 53235z1 |
Quadratic twists by: -3 13 |