Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400em |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-303933691293750000 = -1 · 24 · 310 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83708,-28142787] |
[a1,a2,a3,a4,a6] |
Generators |
[2158:-99225:1] |
Generators of the group modulo torsion |
j |
-88218880/413343 |
j-invariant |
L |
6.4062283678649 |
L(r)(E,1)/r! |
Ω |
0.12710039744126 |
Real period |
R |
0.21001207499586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800bx1 88200dn1 29400f1 4200t1 |
Quadratic twists by: -4 -3 5 -7 |