Atkin-Lehner |
5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675l |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-31544674560546875 = -1 · 512 · 7 · 13 · 175 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- -5 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,67287,5308906] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-3663:1] |
Generators of the group modulo torsion |
j |
2156238418114871/2018859171875 |
j-invariant |
L |
2.0895639423478 |
L(r)(E,1)/r! |
Ω |
0.24258263482109 |
Real period |
R |
0.86138232602294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7735b1 |
Quadratic twists by: 5 |