Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251u |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-1003150413243 = -1 · 39 · 114 · 592 |
Discriminant |
Eigenvalues |
-2 3- -2 1 11- 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2541,-68940] |
[a1,a2,a3,a4,a6] |
Generators |
[209:2920:1] |
Generators of the group modulo torsion |
j |
-169996288/93987 |
j-invariant |
L |
2.9314302784408 |
L(r)(E,1)/r! |
Ω |
0.32778881233505 |
Real period |
R |
0.74525379571399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21417n1 64251r1 |
Quadratic twists by: -3 -11 |