Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720bt |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
32901120 |
Modular degree for the optimal curve |
Δ |
2.7905352775036E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1794380840,29245900083312] |
[a1,a2,a3,a4,a6] |
j |
155993906575104092056816286761/68128302673428480000000 |
j-invariant |
L |
3.0275309209923 |
L(r)(E,1)/r! |
Ω |
0.054063052166811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090o1 |
Quadratic twists by: -4 |