Atkin-Lehner |
3- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52275k |
Isogeny class |
Conductor |
52275 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-1855575616875 = -1 · 3 · 54 · 176 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 0 5 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1717,60119] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-434:1] |
Generators of the group modulo torsion |
j |
895161958400/2968920987 |
j-invariant |
L |
6.6905565114675 |
L(r)(E,1)/r! |
Ω |
0.59029174285606 |
Real period |
R |
0.62968453899108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52275a1 |
Quadratic twists by: 5 |