Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
29200s |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
46720000000 = 213 · 57 · 73 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 3 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1675,24250] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:200:1] [-10:200:1] |
Generators of the group modulo torsion |
j |
8120601/730 |
j-invariant |
L |
5.4557138780829 |
L(r)(E,1)/r! |
Ω |
1.1044567045781 |
Real period |
R |
0.30873289642473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3650m1 116800cd1 5840m1 |
Quadratic twists by: -4 8 5 |