Atkin-Lehner |
2- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
44044q |
Isogeny class |
Conductor |
44044 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-244691520097024 = -1 · 28 · 73 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -2 3 7- 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549,-758177] |
[a1,a2,a3,a4,a6] |
Generators |
[76545:1883602:125] |
Generators of the group modulo torsion |
j |
-90112/4459 |
j-invariant |
L |
5.4844123336208 |
L(r)(E,1)/r! |
Ω |
0.24343500575264 |
Real period |
R |
7.5097557924565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44044d1 |
Quadratic twists by: -11 |