Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
84084r |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
2158561733328 = 24 · 36 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26133,-1633248] |
[a1,a2,a3,a4,a6] |
j |
1048576000000/1146717 |
j-invariant |
L |
2.2531007871549 |
L(r)(E,1)/r! |
Ω |
0.37551679789704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1716a1 |
Quadratic twists by: -7 |