Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
11680c |
Isogeny class |
Conductor |
11680 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
116800000 = 29 · 55 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 5 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1000,-12500] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:25:8] |
Generators of the group modulo torsion |
j |
216216072008/228125 |
j-invariant |
L |
5.9668013960295 |
L(r)(E,1)/r! |
Ω |
0.84896713989674 |
Real period |
R |
1.4056613302501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11680d1 23360u1 105120w1 58400n1 |
Quadratic twists by: -4 8 -3 5 |