Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496z |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-23062523904 = -1 · 212 · 33 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 4 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,7408] |
[a1,a2,a3,a4,a6] |
Generators |
[17:93:1] |
Generators of the group modulo torsion |
j |
-10077696/208537 |
j-invariant |
L |
8.1981289297184 |
L(r)(E,1)/r! |
Ω |
1.0106083550209 |
Real period |
R |
0.67600609811096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62496ba1 124992du1 62496c1 |
Quadratic twists by: -4 8 -3 |