Atkin-Lehner |
2+ 3- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378x |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208512 |
Modular degree for the optimal curve |
Δ |
-1105554744 = -1 · 23 · 39 · 7 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24948,-1510488] |
[a1,a2,a3,a4,a6] |
Generators |
[500310:10287999:1000] |
Generators of the group modulo torsion |
j |
-2355663115536193/1516536 |
j-invariant |
L |
6.8869988823464 |
L(r)(E,1)/r! |
Ω |
0.18993709544266 |
Real period |
R |
9.0648417768309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126y1 |
Quadratic twists by: -3 |