Atkin-Lehner |
2- 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
43450p |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-169726562500 = -1 · 22 · 511 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 11+ 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7563,250781] |
[a1,a2,a3,a4,a6] |
Generators |
[1425:524:27] |
Generators of the group modulo torsion |
j |
-3061889942761/10862500 |
j-invariant |
L |
13.040446952696 |
L(r)(E,1)/r! |
Ω |
1.0224962167419 |
Real period |
R |
1.594192567559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8690b1 |
Quadratic twists by: 5 |