Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850cg |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
495360 |
Modular degree for the optimal curve |
Δ |
-44250780833091000 = -1 · 23 · 320 · 53 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56098,-11362969] |
[a1,a2,a3,a4,a6] |
j |
-156191112157474421/354006246664728 |
j-invariant |
L |
5.2215339288107 |
L(r)(E,1)/r! |
Ω |
0.14504260913353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550cr1 38850bp1 |
Quadratic twists by: -3 5 |