Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870q |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
1184400 = 24 · 32 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55,125] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] |
Generators of the group modulo torsion |
j |
18420660721/1184400 |
j-invariant |
L |
6.2046829286666 |
L(r)(E,1)/r! |
Ω |
2.6896808729365 |
Real period |
R |
0.57671181283047 |
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 |
78960cx1 29610h1 49350s1 69090bo1 |
Quadratic twists by: -4 -3 5 -7 |