Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550br |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
580027392000000 = 216 · 37 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22842,-644684] |
[a1,a2,a3,a4,a6] |
Generators |
[172168:2700091:512] |
Generators of the group modulo torsion |
j |
115714886617/50921472 |
j-invariant |
L |
6.0460125110409 |
L(r)(E,1)/r! |
Ω |
0.40439742049522 |
Real period |
R |
7.4753351086498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850cb1 4662l1 |
Quadratic twists by: -3 5 |