Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430n |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
5219554591818000 = 24 · 39 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66894,5696900] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:3352:1] |
Generators of the group modulo torsion |
j |
14295828483/2254000 |
j-invariant |
L |
5.471494240799 |
L(r)(E,1)/r! |
Ω |
0.41177840492942 |
Real period |
R |
1.1072893757268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430db1 14490d1 |
Quadratic twists by: -3 -7 |