Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672l |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-3024545900834727936 = -1 · 211 · 311 · 234 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 3 -1 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207579,91248874] |
[a1,a2,a3,a4,a6] |
Generators |
[233:-7452:1] |
Generators of the group modulo torsion |
j |
-662546673464114/2025828605133 |
j-invariant |
L |
6.5864114669544 |
L(r)(E,1)/r! |
Ω |
0.22262594188872 |
Real period |
R |
0.46226723877481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999742135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51336p1 34224i1 |
Quadratic twists by: -4 -3 |