Atkin-Lehner |
2+ 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368bb |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
8845231104 = 210 · 36 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -2 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35571,2582210] |
[a1,a2,a3,a4,a6] |
Generators |
[37891:-9792:343] [59:830:1] |
Generators of the group modulo torsion |
j |
6667828959172/11849 |
j-invariant |
L |
8.7495209950237 |
L(r)(E,1)/r! |
Ω |
1.1147678974148 |
Real period |
R |
1.9621844633307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50184bc1 11152b1 |
Quadratic twists by: -4 -3 |