Atkin-Lehner |
5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675g |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
22214543730925 = 52 · 72 · 137 · 172 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-15113,683268] |
[a1,a2,a3,a4,a6] |
Generators |
[476:-10056:1] |
Generators of the group modulo torsion |
j |
15270894846607360/888581749237 |
j-invariant |
L |
2.543886139064 |
L(r)(E,1)/r! |
Ω |
0.66762558701507 |
Real period |
R |
0.13608387419856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38675w1 |
Quadratic twists by: 5 |