Atkin-Lehner |
2- 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120888m |
Isogeny class |
Conductor |
120888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
189136807805952 = 210 · 314 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -6 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117795,15546958] |
[a1,a2,a3,a4,a6] |
Generators |
[278:2070:1] |
Generators of the group modulo torsion |
j |
242145719738500/253366137 |
j-invariant |
L |
5.8325666155112 |
L(r)(E,1)/r! |
Ω |
0.56478271340862 |
Real period |
R |
2.5817745713494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296e1 |
Quadratic twists by: -3 |