Atkin-Lehner |
2+ 3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050l |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3576960 |
Modular degree for the optimal curve |
Δ |
-5752875000 = -1 · 23 · 3 · 56 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45280600,117259087000] |
[a1,a2,a3,a4,a6] |
Generators |
[3291:60788:1] |
Generators of the group modulo torsion |
j |
-657113243203147908283777/368184 |
j-invariant |
L |
4.1000031142356 |
L(r)(E,1)/r! |
Ω |
0.38927605040511 |
Real period |
R |
5.266189785005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4002p1 |
Quadratic twists by: 5 |