Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
67416i |
Isogeny class |
Conductor |
67416 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
801360 |
Modular degree for the optimal curve |
Δ |
-242065676319371568 = -1 · 24 · 35 · 538 |
Discriminant |
Eigenvalues |
2- 3- -2 1 4 6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-694759,223916522] |
[a1,a2,a3,a4,a6] |
j |
-37230592/243 |
j-invariant |
L |
3.1423649851847 |
L(r)(E,1)/r! |
Ω |
0.31423649865276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67416b1 |
Quadratic twists by: 53 |