Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430a |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
16311108099431250 = 2 · 39 · 55 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82770,6821450] |
[a1,a2,a3,a4,a6] |
Generators |
[398:13247:8] |
Generators of the group modulo torsion |
j |
552675123/143750 |
j-invariant |
L |
3.9049045775854 |
L(r)(E,1)/r! |
Ω |
0.3660818939545 |
Real period |
R |
5.3333757080446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430dc1 101430k1 |
Quadratic twists by: -3 -7 |