Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bd |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-397880000000000 = -1 · 212 · 510 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -6 -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11875,1081250] |
[a1,a2,a3,a4,a6] |
j |
-4629825/9947 |
j-invariant |
L |
1.8951039521088 |
L(r)(E,1)/r! |
Ω |
0.47377596834612 |
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 |
5075h1 81200cj1 |
Quadratic twists by: -4 5 |