Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85176be |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2276352 |
Modular degree for the optimal curve |
Δ |
-1.6291573277003E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 13- -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-402051,-217577698] |
[a1,a2,a3,a4,a6] |
j |
-453962/1029 |
j-invariant |
L |
1.0637554831473 |
L(r)(E,1)/r! |
Ω |
0.08864629288912 |
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 |
28392y1 85176bx1 |
Quadratic twists by: -3 13 |