Atkin-Lehner |
2- 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480bt |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-19282636800 = -1 · 212 · 32 · 52 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581,-8781] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1005:8] |
Generators of the group modulo torsion |
j |
-5304438784/4707675 |
j-invariant |
L |
8.4678096099579 |
L(r)(E,1)/r! |
Ω |
0.46880388150108 |
Real period |
R |
4.5156460716276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405c1 |
Quadratic twists by: -4 |