Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880bx |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-1281484800000 = -1 · 214 · 35 · 55 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 -2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3985,109775] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1800:1] [-61:360:1] |
Generators of the group modulo torsion |
j |
-427265402704/78215625 |
j-invariant |
L |
13.676004179452 |
L(r)(E,1)/r! |
Ω |
0.82648829141009 |
Real period |
R |
0.16547123924265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880l1 24720h1 |
Quadratic twists by: -4 8 |