Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38532f |
Isogeny class |
Conductor |
38532 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
127296 |
Modular degree for the optimal curve |
Δ |
-678479132807424 = -1 · 28 · 32 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 4 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16844,-934376] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1266:1] |
Generators of the group modulo torsion |
j |
2530736/3249 |
j-invariant |
L |
5.1336774846044 |
L(r)(E,1)/r! |
Ω |
0.27256017985553 |
Real period |
R |
4.7087559592585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115596u1 38532b1 |
Quadratic twists by: -3 13 |