Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10675i |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-27821197509765625 = -1 · 516 · 72 · 612 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-92750,13474625] |
[a1,a2,a3,a4,a6] |
Generators |
[19070:914615:8] |
Generators of the group modulo torsion |
j |
-5647454716105441/1780556640625 |
j-invariant |
L |
7.8285225488988 |
L(r)(E,1)/r! |
Ω |
0.35394125911857 |
Real period |
R |
5.5295351609999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96075bm2 2135g2 74725d2 |
Quadratic twists by: -3 5 -7 |