Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350bj |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
479059385120312500 = 22 · 58 · 73 · 197 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 5 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-200242,-8925584] |
[a1,a2,a3,a4,a6] |
Generators |
[594:8728:1] |
Generators of the group modulo torsion |
j |
48317985/26068 |
j-invariant |
L |
2.9808427108949 |
L(r)(E,1)/r! |
Ω |
0.24038758836622 |
Real period |
R |
0.5166729789321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000663529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350cy1 6650be1 |
Quadratic twists by: 5 -19 |