Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20460i |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-271904560052400 = -1 · 24 · 312 · 52 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3559,790320] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:675:1] |
Generators of the group modulo torsion |
j |
311505458118656/16994035003275 |
j-invariant |
L |
6.2952523738841 |
L(r)(E,1)/r! |
Ω |
0.41861455227903 |
Real period |
R |
1.2531918960635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
81840bn1 61380o1 102300j1 |
Quadratic twists by: -4 -3 5 |