Atkin-Lehner |
3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40293c |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
720304301673 = 33 · 117 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 11- -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114005,-14787484] |
[a1,a2,a3,a4,a6] |
j |
3425878546875/15059 |
j-invariant |
L |
1.0392714178487 |
L(r)(E,1)/r! |
Ω |
0.25981785445665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40293a1 3663b1 |
Quadratic twists by: -3 -11 |