Atkin-Lehner |
5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10675n |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-166796875 = -1 · 58 · 7 · 61 |
Discriminant |
Eigenvalues |
-2 -2 5- 7+ -2 4 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-208,1244] |
[a1,a2,a3,a4,a6] |
Generators |
[8:12:1] |
Generators of the group modulo torsion |
j |
-2560000/427 |
j-invariant |
L |
1.4238072937505 |
L(r)(E,1)/r! |
Ω |
1.7463330626573 |
Real period |
R |
0.27177085597177 |
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 |
96075bz1 10675l1 74725q1 |
Quadratic twists by: -3 5 -7 |