Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850bc |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-4705708906250 = -1 · 2 · 57 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 11- -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30817,2092591] |
[a1,a2,a3,a4,a6] |
Generators |
[179:1423:1] |
Generators of the group modulo torsion |
j |
-116930169/170 |
j-invariant |
L |
2.9444904179469 |
L(r)(E,1)/r! |
Ω |
0.77083144416442 |
Real period |
R |
0.95497219489243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20570k1 850j1 |
Quadratic twists by: 5 -11 |