Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870r |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
1408 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1663996723200000000 = -1 · 222 · 32 · 58 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,282135,-22789545] |
[a1,a2,a3,a4,a6] |
Generators |
[163:5168:1] |
Generators of the group modulo torsion |
j |
2483673550752247968239/1663996723200000000 |
j-invariant |
L |
5.9489399885158 |
L(r)(E,1)/r! |
Ω |
0.15126618949343 |
Real period |
R |
0.11172620762937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960cy1 29610i1 49350t1 69090bp1 |
Quadratic twists by: -4 -3 5 -7 |