Atkin-Lehner |
2+ 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726d |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
3515332151808 = 29 · 39 · 173 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3876,23120] |
[a1,a2,a3,a4,a6] |
j |
327225205971/178597376 |
j-invariant |
L |
1.3773323212525 |
L(r)(E,1)/r! |
Ω |
0.68866616062627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21726r1 |
Quadratic twists by: -3 |