Atkin-Lehner |
3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835c |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1765378125 = 33 · 55 · 73 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -1 -7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2851,-57618] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:39:8] [-30:3:1] |
Generators of the group modulo torsion |
j |
7474352324608/5146875 |
j-invariant |
L |
6.0593501849036 |
L(r)(E,1)/r! |
Ω |
0.65336446145439 |
Real period |
R |
4.6370368625619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44835bb1 |
Quadratic twists by: -7 |