Atkin-Lehner |
2- 3+ 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
64824g |
Isogeny class |
Conductor |
64824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
615168 |
Modular degree for the optimal curve |
Δ |
-1071536886567936 = -1 · 210 · 318 · 37 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -4 5 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-245584,46951804] |
[a1,a2,a3,a4,a6] |
j |
-1599652798587319108/1046422740789 |
j-invariant |
L |
1.9441727529356 |
L(r)(E,1)/r! |
Ω |
0.4860431883551 |
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 |
129648j1 |
Quadratic twists by: -4 |