Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27200bp |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79360 |
Modular degree for the optimal curve |
Δ |
-1088000000000 = -1 · 215 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 6 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,-50000] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1000:1] |
Generators of the group modulo torsion |
j |
216/17 |
j-invariant |
L |
2.8532855131286 |
L(r)(E,1)/r! |
Ω |
0.41499486734217 |
Real period |
R |
1.7188679533572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200bo1 13600l1 27200bh1 |
Quadratic twists by: -4 8 5 |