Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296c |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-16733008325376 = -1 · 28 · 34 · 76 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6036,-80496] |
[a1,a2,a3,a4,a6] |
Generators |
[32:380:1] |
Generators of the group modulo torsion |
j |
13848370832/9529569 |
j-invariant |
L |
3.7224158557479 |
L(r)(E,1)/r! |
Ω |
0.39298362298275 |
Real period |
R |
2.3680477110412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999468734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648bm2 121296z2 |
Quadratic twists by: -4 -19 |