Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840ba |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
4006236879360000 = 212 · 39 · 54 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2864052,1865601504] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:46440:1] |
Generators of the group modulo torsion |
j |
32226650420588352/49691875 |
j-invariant |
L |
7.317746752925 |
L(r)(E,1)/r! |
Ω |
0.37476687196564 |
Real period |
R |
0.81358875552096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840q1 61920c1 123840l1 |
Quadratic twists by: -4 8 -3 |