Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944n |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
8388384994304 = 210 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5096,-13720] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:147:1] [74:120:1] |
Generators of the group modulo torsion |
j |
121485312/69629 |
j-invariant |
L |
9.9422372715253 |
L(r)(E,1)/r! |
Ω |
0.61304178146702 |
Real period |
R |
8.1089393674079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90944cy1 11368n1 12992j1 |
Quadratic twists by: -4 8 -7 |