Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9870g |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-475974546776064000 = -1 · 216 · 35 · 53 · 72 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-157494,40981192] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:8181:1] |
Generators of the group modulo torsion |
j |
-432027893884802199769/475974546776064000 |
j-invariant |
L |
3.7287575592153 |
L(r)(E,1)/r! |
Ω |
0.26815618667402 |
Real period |
R |
1.3905170734502 |
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 |
78960bk1 29610bi1 49350bp1 69090m1 |
Quadratic twists by: -4 -3 5 -7 |