Atkin-Lehner |
2+ 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670y |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
1458 |
Product of Tamagawa factors cp |
deg |
62565696 |
Modular degree for the optimal curve |
Δ |
-2.0779043241592E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2739387068,-55186182748042] |
[a1,a2,a3,a4,a6] |
j |
-946873049417685070690083804121/865432871369917123500 |
j-invariant |
L |
1.6903286706802 |
L(r)(E,1)/r! |
Ω |
0.010434128596093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89670d1 |
Quadratic twists by: -7 |