Atkin-Lehner |
5- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44275p |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
10302336 |
Modular degree for the optimal curve |
Δ |
2.0124178404239E+21 |
Discriminant |
Eigenvalues |
2 -2 5- 7- 11+ -5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-164148808,-809529214381] |
[a1,a2,a3,a4,a6] |
Generators |
[-112922298056:-22121842515:15252992] |
Generators of the group modulo torsion |
j |
782630731857294774455603200/3219868544678274797 |
j-invariant |
L |
7.3649956668396 |
L(r)(E,1)/r! |
Ω |
0.04217841235181 |
Real period |
R |
7.9370585957233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275d1 |
Quadratic twists by: 5 |