Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96900c |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1.7921042818504E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4694658,3922060437] |
[a1,a2,a3,a4,a6] |
Generators |
[6747:528525:1] |
Generators of the group modulo torsion |
j |
-45771555926854983424/71684171274015 |
j-invariant |
L |
6.0637435635237 |
L(r)(E,1)/r! |
Ω |
0.21819588139473 |
Real period |
R |
3.4737958433574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19380k1 |
Quadratic twists by: 5 |