Atkin-Lehner |
2+ 3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850a |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
78483600000000 = 210 · 33 · 58 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11650,224500] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:835:1] |
Generators of the group modulo torsion |
j |
11192824869409/5022950400 |
j-invariant |
L |
2.6790785387891 |
L(r)(E,1)/r! |
Ω |
0.54818711640054 |
Real period |
R |
1.2217901788544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bd1 |
Quadratic twists by: 5 |