Atkin-Lehner |
2+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720f |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-27889439226880 = -1 · 210 · 5 · 72 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3176,264320] |
[a1,a2,a3,a4,a6] |
Generators |
[46:462:1] |
Generators of the group modulo torsion |
j |
-3461002971556/27235780495 |
j-invariant |
L |
9.3204919153004 |
L(r)(E,1)/r! |
Ω |
0.57066738101453 |
Real period |
R |
1.3610514417403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999732764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52360i1 |
Quadratic twists by: -4 |