Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944bf |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
112874108483354624 = 214 · 710 · 293 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 0 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281717,55142611] |
[a1,a2,a3,a4,a6] |
j |
534274048/24389 |
j-invariant |
L |
0.32940555974886 |
L(r)(E,1)/r! |
Ω |
0.32940553165259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944dh1 5684k1 90944d1 |
Quadratic twists by: -4 8 -7 |