Atkin-Lehner |
3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38829i |
Isogeny class |
Conductor |
38829 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2058496 |
Modular degree for the optimal curve |
Δ |
3620174583781080129 = 3 · 74 · 439 |
Discriminant |
Eigenvalues |
1 3- -2 7- 6 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11957522,15913858535] |
[a1,a2,a3,a4,a6] |
Generators |
[468232692345:-20270885122756:121287375] |
Generators of the group modulo torsion |
j |
376210684459/7203 |
j-invariant |
L |
8.6746676510982 |
L(r)(E,1)/r! |
Ω |
0.22962828210284 |
Real period |
R |
18.888500082959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116487j1 38829a1 |
Quadratic twists by: -3 -43 |