Atkin-Lehner |
3+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57477g |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-753639018576631677 = -1 · 37 · 78 · 173 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -5 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-749652,-253605822] |
[a1,a2,a3,a4,a6] |
Generators |
[11586:1237782:1] |
Generators of the group modulo torsion |
j |
-396017721037004977/6405825961773 |
j-invariant |
L |
3.5545294373133 |
L(r)(E,1)/r! |
Ω |
0.081047081772357 |
Real period |
R |
7.3095978276481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8211i1 |
Quadratic twists by: -7 |