Atkin-Lehner |
2- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21712i |
Isogeny class |
Conductor |
21712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-264169904 = -1 · 24 · 234 · 59 |
Discriminant |
Eigenvalues |
2- 1 3 -1 2 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,151,374] |
[a1,a2,a3,a4,a6] |
Generators |
[50:368:1] |
Generators of the group modulo torsion |
j |
23640424448/16510619 |
j-invariant |
L |
7.4808978102545 |
L(r)(E,1)/r! |
Ω |
1.1039467449181 |
Real period |
R |
1.6941256099291 |
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 |
5428a1 86848z1 |
Quadratic twists by: -4 8 |