Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304a |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4.3765874058869E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -3 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,589503,-266580159] |
[a1,a2,a3,a4,a6] |
Generators |
[3395:202124:1] |
Generators of the group modulo torsion |
j |
14991903983/28960854 |
j-invariant |
L |
4.7176022866579 |
L(r)(E,1)/r! |
Ω |
0.10586354995 |
Real period |
R |
3.7135871706655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304go2 3822bc2 122304el2 |
Quadratic twists by: -4 8 -7 |