Atkin-Lehner |
2- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720u |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-79754752000 = -1 · 212 · 53 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-13676] |
[a1,a2,a3,a4,a6] |
Generators |
[60:442:1] |
Generators of the group modulo torsion |
j |
-148035889/19471375 |
j-invariant |
L |
4.2945140113278 |
L(r)(E,1)/r! |
Ω |
0.48137910881592 |
Real period |
R |
2.2303180163549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6545b1 |
Quadratic twists by: -4 |