Atkin-Lehner |
3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325n |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-19875216796875 = -1 · 39 · 59 · 11 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6750,-21094] |
[a1,a2,a3,a4,a6] |
j |
884736/517 |
j-invariant |
L |
1.6140457117705 |
L(r)(E,1)/r! |
Ω |
0.40351127411424 |
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 |
116325k1 116325m1 |
Quadratic twists by: -3 5 |