Atkin-Lehner |
2+ 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
73326c |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24981264 |
Modular degree for the optimal curve |
Δ |
-311348106251875704 = -1 · 23 · 3 · 112 · 1017 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 11- 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1586038973,-24312560587179] |
[a1,a2,a3,a4,a6] |
j |
-3646530972918923152685648061409/2573124845056824 |
j-invariant |
L |
1.447359655229 |
L(r)(E,1)/r! |
Ω |
0.011961650125118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326bc1 |
Quadratic twists by: -11 |