Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454bf |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
802816 |
Modular degree for the optimal curve |
Δ |
815511681746141184 = 216 · 38 · 79 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-290628,41893200] |
[a1,a2,a3,a4,a6] |
j |
92284130359/27721728 |
j-invariant |
L |
2.0962585053181 |
L(r)(E,1)/r! |
Ω |
0.26203231316006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818bb1 41454q1 |
Quadratic twists by: -3 -7 |