Atkin-Lehner |
2+ 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090c |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11760000 |
Modular degree for the optimal curve |
Δ |
-5.06011563453E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44360068,118739826472] |
[a1,a2,a3,a4,a6] |
j |
-239231287146281750767/12539438257725000 |
j-invariant |
L |
0.18367656175904 |
L(r)(E,1)/r! |
Ω |
0.091838278260793 |
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 |
69090bb1 |
Quadratic twists by: -7 |