Atkin-Lehner |
2+ 3- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330l |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
272384 |
Modular degree for the optimal curve |
Δ |
-15791973580800 = -1 · 214 · 37 · 52 · 172 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5670,-250700] |
[a1,a2,a3,a4,a6] |
Generators |
[95:200:1] |
Generators of the group modulo torsion |
j |
-27655941287521/21662515200 |
j-invariant |
L |
5.927634553939 |
L(r)(E,1)/r! |
Ω |
0.26611964699952 |
Real period |
R |
2.7842901735265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110r1 |
Quadratic twists by: -3 |