Atkin-Lehner |
3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34983b |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11651081888043 = 33 · 138 · 232 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5862,-52155] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:203:1] [84:165:1] |
Generators of the group modulo torsion |
j |
170953875/89401 |
j-invariant |
L |
9.4760701603688 |
L(r)(E,1)/r! |
Ω |
0.5781059164717 |
Real period |
R |
4.0978953381955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34983a2 2691b2 |
Quadratic twists by: -3 13 |