Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360db |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
146483593410000 = 24 · 3 · 54 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2034055,-1117264072] |
[a1,a2,a3,a4,a6] |
Generators |
[2609042064440:72869702108412:1277289125] |
Generators of the group modulo torsion |
j |
494428821070157824/77818125 |
j-invariant |
L |
10.48790524344 |
L(r)(E,1)/r! |
Ω |
0.12641798624275 |
Real period |
R |
20.740532348974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999149507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680br1 18480f1 |
Quadratic twists by: -4 -7 |