Atkin-Lehner |
5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10675g |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-2492779296875 = -1 · 59 · 73 · 612 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- -5 -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10158,404718] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:762:1] [22:437:1] |
Generators of the group modulo torsion |
j |
-7419438936064/159537875 |
j-invariant |
L |
2.8467569183539 |
L(r)(E,1)/r! |
Ω |
0.81357811492931 |
Real period |
R |
0.14579407855426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075bh1 2135a1 74725o1 |
Quadratic twists by: -3 5 -7 |