Atkin-Lehner |
2+ 3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bd |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-169745257221120 = -1 · 210 · 34 · 5 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -7 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13841,-6814] |
[a1,a2,a3,a4,a6] |
Generators |
[151:2276:1] [34:692:1] |
Generators of the group modulo torsion |
j |
50872947671/29445120 |
j-invariant |
L |
9.0557448590705 |
L(r)(E,1)/r! |
Ω |
0.3412934508513 |
Real period |
R |
1.1055667828617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370p1 |
Quadratic twists by: -7 |