Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850cy |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-528670800 = -1 · 24 · 36 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83,1137] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-71:1] |
Generators of the group modulo torsion |
j |
-2531307865/21146832 |
j-invariant |
L |
11.416889361696 |
L(r)(E,1)/r! |
Ω |
1.4102609622784 |
Real period |
R |
0.16865804844923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550ce1 38850t1 |
Quadratic twists by: -3 5 |