Atkin-Lehner |
2+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21386a |
Isogeny class |
Conductor |
21386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-62187646570496 = -1 · 212 · 177 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -3 3 -5 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12481,-654147] |
[a1,a2,a3,a4,a6] |
Generators |
[1458:54759:1] |
Generators of the group modulo torsion |
j |
-8908363017/2576384 |
j-invariant |
L |
2.1511800641428 |
L(r)(E,1)/r! |
Ω |
0.22251590332253 |
Real period |
R |
2.4168835036306 |
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 |
1258d1 |
Quadratic twists by: 17 |