Atkin-Lehner |
29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61393a |
Isogeny class |
Conductor |
61393 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3169813477609 = -1 · 296 · 732 |
Discriminant |
Eigenvalues |
-1 0 2 2 2 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3206,-50342] |
[a1,a2,a3,a4,a6] |
Generators |
[6230:56954:125] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
3.8100647128502 |
L(r)(E,1)/r! |
Ω |
0.43922907082602 |
Real period |
R |
4.3372182825504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73a1 |
Quadratic twists by: 29 |