Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230w |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
386821875000 = 23 · 3 · 58 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5281421,-4673893621] |
[a1,a2,a3,a4,a6] |
Generators |
[8773:785744:1] |
Generators of the group modulo torsion |
j |
16292063012679634585973329/386821875000 |
j-invariant |
L |
5.2333381997666 |
L(r)(E,1)/r! |
Ω |
0.099589111385375 |
Real period |
R |
8.7582168488203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840cw4 30690q4 51150w4 112530i4 |
Quadratic twists by: -4 -3 5 -11 |