Atkin-Lehner |
3- 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56637g |
Isogeny class |
Conductor |
56637 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
22497497698851 = 312 · 72 · 29 · 313 |
Discriminant |
Eigenvalues |
1 3- -1 7- 2 4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49950,4303309] |
[a1,a2,a3,a4,a6] |
Generators |
[92:647:1] |
Generators of the group modulo torsion |
j |
18906343851679201/30860765019 |
j-invariant |
L |
6.934562236532 |
L(r)(E,1)/r! |
Ω |
0.6772867911314 |
Real period |
R |
2.559684585331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18879c1 |
Quadratic twists by: -3 |