Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38352o |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
3687121114103808 = 222 · 34 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140672,20049588] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:6144:1] |
Generators of the group modulo torsion |
j |
75160530649878913/900176053248 |
j-invariant |
L |
8.392652894296 |
L(r)(E,1)/r! |
Ω |
0.44459568911238 |
Real period |
R |
2.3596306430262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794d1 115056bf1 |
Quadratic twists by: -4 -3 |