Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510v |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-79313468129280000 = -1 · 222 · 36 · 54 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,56250,-12553164] |
[a1,a2,a3,a4,a6] |
Generators |
[163:881:1] |
Generators of the group modulo torsion |
j |
78716413996793/317194240000 |
j-invariant |
L |
2.9457961428152 |
L(r)(E,1)/r! |
Ω |
0.17381676865432 |
Real period |
R |
2.1184637172967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390bj1 48510bl1 |
Quadratic twists by: -3 -7 |