Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600dr |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
16602626880000 = 29 · 32 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20008,1064888] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1470:1] |
Generators of the group modulo torsion |
j |
480200/9 |
j-invariant |
L |
8.5889776477363 |
L(r)(E,1)/r! |
Ω |
0.69528929183597 |
Real period |
R |
0.34314164604325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600bj1 117600ei1 117600bx1 |
Quadratic twists by: -4 5 -7 |