Atkin-Lehner |
2+ 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394be |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
30108672 |
Modular degree for the optimal curve |
Δ |
4.4691846081892E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2681488142,53445373791500] |
[a1,a2,a3,a4,a6] |
Generators |
[20580:2631079:1] |
Generators of the group modulo torsion |
j |
904309696913292313535627/18953705484 |
j-invariant |
L |
4.806695008547 |
L(r)(E,1)/r! |
Ω |
0.10516804160854 |
Real period |
R |
2.5391612058403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86394ck1 |
Quadratic twists by: -11 |