Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10675k |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
1765824 |
Modular degree for the optimal curve |
Δ |
-6.7626417386437E+22 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -5 -1 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-28076658,58622285343] |
[a1,a2,a3,a4,a6] |
Generators |
[27546:420171:8] |
Generators of the group modulo torsion |
j |
-156653440431604480405504/4328090712731986235 |
j-invariant |
L |
7.1272332796517 |
L(r)(E,1)/r! |
Ω |
0.1096003881518 |
Real period |
R |
0.47815640017332 |
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 |
96075bu1 2135b1 74725i1 |
Quadratic twists by: -3 5 -7 |