Atkin-Lehner |
2- 3- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
79050ch |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-1821312000 = -1 · 210 · 33 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18,2052] |
[a1,a2,a3,a4,a6] |
Generators |
[12:54:1] |
Generators of the group modulo torsion |
j |
-5177717/14570496 |
j-invariant |
L |
12.549315245116 |
L(r)(E,1)/r! |
Ω |
1.1934034385284 |
Real period |
R |
0.17525946993739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050s1 |
Quadratic twists by: 5 |