Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
48480g |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-872640 = -1 · 26 · 33 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 3 -2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[16:58:1] |
Generators of the group modulo torsion |
j |
-31554496/13635 |
j-invariant |
L |
5.34092260663 |
L(r)(E,1)/r! |
Ω |
1.0320535140676 |
Real period |
R |
2.5875221264313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48480s1 96960dr1 |
Quadratic twists by: -4 8 |