Atkin-Lehner |
2- 3+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46314o |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-202577436 = -1 · 22 · 39 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 0 5 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,133,-377] |
[a1,a2,a3,a4,a6] |
j |
13312053/10292 |
j-invariant |
L |
3.9772797158789 |
L(r)(E,1)/r! |
Ω |
0.99431992898415 |
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 |
46314e1 |
Quadratic twists by: -3 |