Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286cg |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
8081373739856707584 = 214 · 312 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-946616,327282491] |
[a1,a2,a3,a4,a6] |
j |
3188856056959/274710528 |
j-invariant |
L |
3.1861753711489 |
L(r)(E,1)/r! |
Ω |
0.22758395508207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762s1 20286cc1 |
Quadratic twists by: -3 -7 |