Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650v |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-7281135360000000 = -1 · 214 · 39 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162567,25601341] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1513:1] |
Generators of the group modulo torsion |
j |
-41713327443241/639221760 |
j-invariant |
L |
3.2370786376598 |
L(r)(E,1)/r! |
Ω |
0.41955228254172 |
Real period |
R |
0.96444435305207 |
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 |
61200fu1 2550s1 1530l1 |
Quadratic twists by: -4 -3 5 |