Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200bs |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
216613769531250000 = 24 · 3 · 518 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159783,-10198812] |
[a1,a2,a3,a4,a6] |
Generators |
[373880364:38108882656:35937] |
Generators of the group modulo torsion |
j |
1804588288006144/866455078125 |
j-invariant |
L |
7.5036191848756 |
L(r)(E,1)/r! |
Ω |
0.25045462692188 |
Real period |
R |
14.979997072877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600l1 21840c1 |
Quadratic twists by: -4 5 |