Atkin-Lehner |
2+ 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
85358g |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-1434611906 = -1 · 2 · 77 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-286234,-59062114] |
[a1,a2,a3,a4,a6] |
Generators |
[8126:207519:8] |
Generators of the group modulo torsion |
j |
-22044563397858457/12194 |
j-invariant |
L |
2.5359326442421 |
L(r)(E,1)/r! |
Ω |
0.10320222402624 |
Real period |
R |
6.1431153164744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12194d1 |
Quadratic twists by: -7 |