Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
93860d |
Isogeny class |
Conductor |
93860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12908160 |
Modular degree for the optimal curve |
Δ |
-1048735017781750000 = -1 · 24 · 56 · 13 · 199 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 6 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-226031606,-1307906968219] |
[a1,a2,a3,a4,a6] |
Generators |
[5864631534645970017436742005182685067508682867148:1537247358709416469230269337428075373165222107588625:81345213666955305310425642549271965076215488] |
Generators of the group modulo torsion |
j |
-1696639751279573488384/1393234375 |
j-invariant |
L |
11.079367090536 |
L(r)(E,1)/r! |
Ω |
0.019468265759897 |
Real period |
R |
71.137352622843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940e1 |
Quadratic twists by: -19 |