Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230d |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-23784750000 = -1 · 24 · 32 · 56 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,697,-1947] |
[a1,a2,a3,a4,a6] |
Generators |
[26:173:1] |
Generators of the group modulo torsion |
j |
37363547401991/23784750000 |
j-invariant |
L |
2.2698105388503 |
L(r)(E,1)/r! |
Ω |
0.68795211812737 |
Real period |
R |
0.82484321184621 |
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 |
81840cr2 30690bl2 51150cm2 112530bs2 |
Quadratic twists by: -4 -3 5 -11 |