Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5046l |
Isogeny class |
Conductor |
5046 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
65997804672 = 27 · 36 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 0 -4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1279,12005] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-828:1] |
Generators of the group modulo torsion |
j |
327163297/93312 |
j-invariant |
L |
4.3652810153158 |
L(r)(E,1)/r! |
Ω |
1.0249797026371 |
Real period |
R |
0.1014022638712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40368br1 15138n1 126150bf1 5046e1 |
Quadratic twists by: -4 -3 5 29 |