Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cl |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-2.1822004494139E+22 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3111092,6787263844] |
[a1,a2,a3,a4,a6] |
Generators |
[3257:226894:1] |
Generators of the group modulo torsion |
j |
1811564780171264/11870974573731 |
j-invariant |
L |
3.0841824129479 |
L(r)(E,1)/r! |
Ω |
0.087650620186957 |
Real period |
R |
1.0996008950016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1911c1 6825e1 |
Quadratic twists by: 5 -7 |