Atkin-Lehner |
2+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400k |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24320 |
Modular degree for the optimal curve |
Δ |
-833504000 = -1 · 28 · 53 · 7 · 612 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 1 -5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273,-2317] |
[a1,a2,a3,a4,a6] |
Generators |
[73:610:1] |
Generators of the group modulo torsion |
j |
-70575104/26047 |
j-invariant |
L |
8.0222566358233 |
L(r)(E,1)/r! |
Ω |
0.57645316060765 |
Real period |
R |
0.86978626177618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85400bc1 |
Quadratic twists by: 5 |