Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640bc |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-2758361973120000 = -1 · 210 · 38 · 54 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30957,-1410658] |
[a1,a2,a3,a4,a6] |
Generators |
[1291:46800:1] |
Generators of the group modulo torsion |
j |
4395141167036/3695079375 |
j-invariant |
L |
6.2479531422471 |
L(r)(E,1)/r! |
Ω |
0.25069433925803 |
Real period |
R |
1.5576620979721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880b1 |
Quadratic twists by: -3 |