Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752x |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-5253117712128 = -1 · 28 · 34 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4316,17312] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:114:1] |
Generators of the group modulo torsion |
j |
19600688/11583 |
j-invariant |
L |
6.3027065949665 |
L(r)(E,1)/r! |
Ω |
0.46555241081611 |
Real period |
R |
3.3845311765859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75504g1 113256x1 3432d1 |
Quadratic twists by: -4 -3 -11 |