Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40600n |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-588700000000 = -1 · 28 · 58 · 7 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,492,-36512] |
[a1,a2,a3,a4,a6] |
j |
3286064/147175 |
j-invariant |
L |
1.7604295817515 |
L(r)(E,1)/r! |
Ω |
0.44010739544373 |
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 |
81200k1 8120e1 |
Quadratic twists by: -4 5 |