Atkin-Lehner |
3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38829a |
Isogeny class |
Conductor |
38829 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47872 |
Modular degree for the optimal curve |
Δ |
572688921 = 3 · 74 · 433 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6467,-202864] |
[a1,a2,a3,a4,a6] |
Generators |
[-103246:51622:2197] |
Generators of the group modulo torsion |
j |
376210684459/7203 |
j-invariant |
L |
3.7322574311686 |
L(r)(E,1)/r! |
Ω |
0.53238276636178 |
Real period |
R |
7.0104775492242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116487g1 38829i1 |
Quadratic twists by: -3 -43 |