Atkin-Lehner |
5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
121495c |
Isogeny class |
Conductor |
121495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
789092458159445 = 5 · 114 · 476 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64475,6170876] |
[a1,a2,a3,a4,a6] |
Generators |
[-3480:96538:27] |
Generators of the group modulo torsion |
j |
2749884201/73205 |
j-invariant |
L |
6.2334168151325 |
L(r)(E,1)/r! |
Ω |
0.50214707393141 |
Real period |
R |
6.206763955561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156249 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55a2 |
Quadratic twists by: -47 |