Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722c |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
46956723223644 = 22 · 33 · 139 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -5 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234519,43770897] |
[a1,a2,a3,a4,a6] |
Generators |
[387:3102:1] |
Generators of the group modulo torsion |
j |
10945484159427/360308 |
j-invariant |
L |
3.3250239952697 |
L(r)(E,1)/r! |
Ω |
0.59489633097485 |
Real period |
R |
0.34932810423838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999624017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722be1 9594l1 |
Quadratic twists by: -3 13 |