Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10850c |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-190543360000000000 = -1 · 218 · 510 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67900,22050000] |
[a1,a2,a3,a4,a6] |
Generators |
[9765:959805:1] |
Generators of the group modulo torsion |
j |
-2215761453033409/12194775040000 |
j-invariant |
L |
4.4542463301273 |
L(r)(E,1)/r! |
Ω |
0.27583471690685 |
Real period |
R |
4.0370610161733 |
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 |
86800cf1 97650cy1 2170l1 75950bh1 |
Quadratic twists by: -4 -3 5 -7 |