Atkin-Lehner |
3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
128037m |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1022976 |
Modular degree for the optimal curve |
Δ |
25622885947113 = 36 · 79 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-304536,-64710297] |
[a1,a2,a3,a4,a6] |
Generators |
[409303815:-3482265558:614125] |
Generators of the group modulo torsion |
j |
26549202403730161/217790937 |
j-invariant |
L |
7.5403169345963 |
L(r)(E,1)/r! |
Ω |
0.20323106884705 |
Real period |
R |
12.367395504435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999884534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18291c1 |
Quadratic twists by: -7 |