Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bg |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7.0403751936E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1027704,46203120] |
[a1,a2,a3,a4,a6] |
Generators |
[2664740:121840640:2197] |
Generators of the group modulo torsion |
j |
29306738028995296631/17188416000000000 |
j-invariant |
L |
4.1044000763614 |
L(r)(E,1)/r! |
Ω |
0.11813007013806 |
Real period |
R |
8.6861881812869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090k2 |
Quadratic twists by: -4 |