Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
112140p |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-1363068708750000 = -1 · 24 · 36 · 57 · 75 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6312,-1786759] |
[a1,a2,a3,a4,a6] |
Generators |
[502:11025:1] |
Generators of the group modulo torsion |
j |
-2384389341184/116861171875 |
j-invariant |
L |
7.7548749982515 |
L(r)(E,1)/r! |
Ω |
0.21094087193988 |
Real period |
R |
0.17506316162132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12460c1 |
Quadratic twists by: -3 |