Atkin-Lehner |
2+ 3- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bs |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-13421522772000000 = -1 · 28 · 39 · 56 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16487,5515388] |
[a1,a2,a3,a4,a6] |
Generators |
[139:3170:1] |
Generators of the group modulo torsion |
j |
206440228656599/5589972000000 |
j-invariant |
L |
6.7930830022083 |
L(r)(E,1)/r! |
Ω |
0.29895179123617 |
Real period |
R |
0.63119457833469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013229 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104370b1 |
Quadratic twists by: -7 |