Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656l |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
176787615312 = 24 · 34 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-251599,48658810] |
[a1,a2,a3,a4,a6] |
j |
62140690757632/6237 |
j-invariant |
L |
0.78106742662901 |
L(r)(E,1)/r! |
Ω |
0.78106742658438 |
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 |
20328m1 121968bj1 3696g1 |
Quadratic twists by: -4 -3 -11 |