Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41574r |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
1723133661553115136 = 214 · 312 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-76708512,-258597411840] |
[a1,a2,a3,a4,a6] |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
4.2851689760856 |
L(r)(E,1)/r! |
Ω |
0.051013916381312 |
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 |
124722k1 246c1 |
Quadratic twists by: -3 13 |