Atkin-Lehner |
2- 3+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
72816d |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
4.3883715405854E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1627224,733166064] |
[a1,a2,a3,a4,a6] |
j |
116333837454603168217/10713797706507264 |
j-invariant |
L |
0.7892064822373 |
L(r)(E,1)/r! |
Ω |
0.19730162245281 |
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 |
9102a1 |
Quadratic twists by: -4 |