Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575x |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-7836526359375 = -1 · 3 · 56 · 78 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-638,-135094] |
[a1,a2,a3,a4,a6] |
Generators |
[56:65:1] |
Generators of the group modulo torsion |
j |
-15625/4263 |
j-invariant |
L |
3.0023925791687 |
L(r)(E,1)/r! |
Ω |
0.33076930255519 |
Real period |
R |
4.5384994245437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4263e1 15225q1 |
Quadratic twists by: 5 -7 |