Atkin-Lehner |
2+ 11- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62744b |
Isogeny class |
Conductor |
62744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172416 |
Modular degree for the optimal curve |
Δ |
-31748464 = -1 · 24 · 112 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -1 -3 11- 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-382583,91082851] |
[a1,a2,a3,a4,a6] |
Generators |
[355:69:1] |
Generators of the group modulo torsion |
j |
-387062176575393471744/1984279 |
j-invariant |
L |
4.7840850990078 |
L(r)(E,1)/r! |
Ω |
1.0052905412923 |
Real period |
R |
0.59486348750154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125488b1 |
Quadratic twists by: -4 |