Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762o |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1130496 |
Modular degree for the optimal curve |
Δ |
-850932299099582208 = -1 · 28 · 38 · 477 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-298629,76984789] |
[a1,a2,a3,a4,a6] |
Generators |
[-505:10193:1] |
Generators of the group modulo torsion |
j |
-374805361/108288 |
j-invariant |
L |
1.9097529569931 |
L(r)(E,1)/r! |
Ω |
0.26687119012119 |
Real period |
R |
0.89451064206625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13254j1 846a1 |
Quadratic twists by: -3 -47 |