Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370c |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3606081711529E+22 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34655144,-78325585674] |
[a1,a2,a3,a4,a6] |
Generators |
[-18744142434553328:35810516867642011:5310828573623] |
Generators of the group modulo torsion |
j |
953601012705465483841/2818856456000000 |
j-invariant |
L |
3.3574114016164 |
L(r)(E,1)/r! |
Ω |
0.062235015287297 |
Real period |
R |
26.973653020477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999566606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490m2 |
Quadratic twists by: 13 |