Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200ci |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
5221939266000 = 24 · 312 · 53 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73290,7636075] |
[a1,a2,a3,a4,a6] |
Generators |
[6980:62055:64] |
Generators of the group modulo torsion |
j |
29860725364736/3581577 |
j-invariant |
L |
8.1701217877091 |
L(r)(E,1)/r! |
Ω |
0.73594502317692 |
Real period |
R |
5.5507690998367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600cq1 20400bq1 61200cw1 |
Quadratic twists by: -4 -3 5 |