Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080fz |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-241168363200 = -1 · 26 · 37 · 52 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,978,-20486] |
[a1,a2,a3,a4,a6] |
Generators |
[274:1845:8] |
Generators of the group modulo torsion |
j |
2217342464/5169075 |
j-invariant |
L |
9.5888761116044 |
L(r)(E,1)/r! |
Ω |
0.51187732706463 |
Real period |
R |
0.78053174362204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080ge1 59040m1 39360cj1 |
Quadratic twists by: -4 8 -3 |