Atkin-Lehner |
3- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58719d |
Isogeny class |
Conductor |
58719 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
-279281597841 = -1 · 36 · 234 · 372 |
Discriminant |
Eigenvalues |
1 3- -3 0 4 -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8740,-316225] |
[a1,a2,a3,a4,a6] |
Generators |
[205:-2656:1] |
Generators of the group modulo torsion |
j |
-263800268953/998001 |
j-invariant |
L |
6.6278822279242 |
L(r)(E,1)/r! |
Ω |
0.24683077577649 |
Real period |
R |
0.74588688984569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58719f1 |
Quadratic twists by: -23 |