Atkin-Lehner |
2+ 3+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
75696c |
Isogeny class |
Conductor |
75696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
14533632 = 210 · 32 · 19 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4728,126720] |
[a1,a2,a3,a4,a6] |
Generators |
[38:22:1] |
Generators of the group modulo torsion |
j |
11416895126500/14193 |
j-invariant |
L |
5.5015589112787 |
L(r)(E,1)/r! |
Ω |
1.8789507518413 |
Real period |
R |
1.4639976342726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37848d1 |
Quadratic twists by: -4 |