Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722k |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
1.2561644392722E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-690376608,6982130119680] |
[a1,a2,a3,a4,a6] |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
0.22584232785849 |
L(r)(E,1)/r! |
Ω |
0.11292130626451 |
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 |
41574r1 738h1 |
Quadratic twists by: -3 13 |