Atkin-Lehner |
3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29913a |
Isogeny class |
Conductor |
29913 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
76668083274627 = 33 · 138 · 592 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21635,1141158] |
[a1,a2,a3,a4,a6] |
Generators |
[1006:31100:1] |
Generators of the group modulo torsion |
j |
232041498625/15883803 |
j-invariant |
L |
5.2412911364091 |
L(r)(E,1)/r! |
Ω |
0.60001702692178 |
Real period |
R |
4.3676186685051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89739f2 2301a2 |
Quadratic twists by: -3 13 |