Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800dc |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-26202009600000000 = -1 · 218 · 39 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21675,7884250] |
[a1,a2,a3,a4,a6] |
Generators |
[15:2750:1] |
Generators of the group modulo torsion |
j |
-24137569/561600 |
j-invariant |
L |
6.6627848427498 |
L(r)(E,1)/r! |
Ω |
0.31554673790074 |
Real period |
R |
2.639381129041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5850bn1 15600cc1 9360cb1 |
Quadratic twists by: -4 -3 5 |