Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650bx |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-15998588437500 = -1 · 22 · 311 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3145,-180853] |
[a1,a2,a3,a4,a6] |
Generators |
[639:15880:1] |
Generators of the group modulo torsion |
j |
302111711/1404540 |
j-invariant |
L |
5.8646340096075 |
L(r)(E,1)/r! |
Ω |
0.3515108052444 |
Real period |
R |
2.0855098627516 |
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 |
61200ew1 2550m1 1530h1 |
Quadratic twists by: -4 -3 5 |