Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992dr |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-262696561344 = -1 · 26 · 39 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 4 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-486,-25002] |
[a1,a2,a3,a4,a6] |
Generators |
[939:341:27] |
Generators of the group modulo torsion |
j |
-10077696/208537 |
j-invariant |
L |
9.9986342539327 |
L(r)(E,1)/r! |
Ω |
0.42365614694448 |
Real period |
R |
3.9334707020564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992dy1 62496c1 124992du1 |
Quadratic twists by: -4 8 -3 |