Atkin-Lehner |
5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525t |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3093120 |
Modular degree for the optimal curve |
Δ |
-1050148599487421875 = -1 · 57 · 75 · 17 · 196 |
Discriminant |
Eigenvalues |
2 2 5+ 7- 0 3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16857408,26645671093] |
[a1,a2,a3,a4,a6] |
Generators |
[4447596:30007261:1728] |
Generators of the group modulo torsion |
j |
-33905964767714432487424/67209510367195 |
j-invariant |
L |
18.660203032089 |
L(r)(E,1)/r! |
Ω |
0.23762871582631 |
Real period |
R |
3.9263358737955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11305b1 |
Quadratic twists by: 5 |