Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648w |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.6438536838086E+29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1546203552,37298316846060] |
[a1,a2,a3,a4,a6] |
Generators |
[34285330676462074609813193794144332236802661804473469645:4836659103592449506825991822933584881242770610338933332620:1142424377878643601951480467287615931856341303513929] |
Generators of the group modulo torsion |
j |
-4242991426585187031506/3781894171664380023 |
j-invariant |
L |
4.9229851027436 |
L(r)(E,1)/r! |
Ω |
0.027612778177189 |
Real period |
R |
89.143241421657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296bn2 3192g2 |
Quadratic twists by: -4 -19 |