Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056p |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-102244454456015872 = -1 · 210 · 79 · 114 · 132 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91352,18667648] |
[a1,a2,a3,a4,a6] |
Generators |
[272:3744:1] |
Generators of the group modulo torsion |
j |
-2040329596/2474329 |
j-invariant |
L |
4.4961538840578 |
L(r)(E,1)/r! |
Ω |
0.30386256080734 |
Real period |
R |
3.6991673736181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112o1 56056s1 |
Quadratic twists by: -4 -7 |