Atkin-Lehner |
2- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10234k |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-321685322 = -1 · 2 · 7 · 172 · 433 |
Discriminant |
Eigenvalues |
2- 1 2 7- -3 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62,878] |
[a1,a2,a3,a4,a6] |
Generators |
[94:293:8] |
Generators of the group modulo torsion |
j |
-26383748833/321685322 |
j-invariant |
L |
8.443337183867 |
L(r)(E,1)/r! |
Ω |
1.4576959840608 |
Real period |
R |
2.8961241837087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872t1 92106y1 71638u1 |
Quadratic twists by: -4 -3 -7 |