Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400ca |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-246875000000 = -1 · 26 · 511 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -3 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5033,-141187] |
[a1,a2,a3,a4,a6] |
Generators |
[67985982108:858879692875:359425431] |
Generators of the group modulo torsion |
j |
-14102327296/246875 |
j-invariant |
L |
9.6055912432728 |
L(r)(E,1)/r! |
Ω |
0.28310950033132 |
Real period |
R |
16.964445262401 |
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 |
126400j1 31600q1 25280s1 |
Quadratic twists by: -4 8 5 |