Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304x |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-2553365680128 = -1 · 212 · 313 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -3 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2445,-61198] |
[a1,a2,a3,a4,a6] |
Generators |
[223:3402:1] |
Generators of the group modulo torsion |
j |
541343375/855117 |
j-invariant |
L |
6.2113373116796 |
L(r)(E,1)/r! |
Ω |
0.42868636151647 |
Real period |
R |
1.8111543395048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3519d1 18768r1 |
Quadratic twists by: -4 -3 |