Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400co |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-2759273164800 = -1 · 212 · 39 · 52 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12613,-555277] |
[a1,a2,a3,a4,a6] |
j |
-2167271772160/26946027 |
j-invariant |
L |
4.0514747523308 |
L(r)(E,1)/r! |
Ω |
0.22508193068184 |
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 |
2775d1 44400br1 |
Quadratic twists by: -4 5 |