Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944be |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
636608 = 26 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -4 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268,1602] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:14:1] [13:22:1] |
Generators of the group modulo torsion |
j |
97336000/29 |
j-invariant |
L |
7.0238156650647 |
L(r)(E,1)/r! |
Ω |
2.8210245113412 |
Real period |
R |
4.9796204439609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90944ba1 45472bj2 90944bb1 |
Quadratic twists by: -4 8 -7 |