Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050by |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-17600189257728000 = -1 · 214 · 32 · 53 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-179445,-30021075] |
[a1,a2,a3,a4,a6] |
Generators |
[495:1410:1] |
Generators of the group modulo torsion |
j |
-2885728410053/79478784 |
j-invariant |
L |
4.8672964533021 |
L(r)(E,1)/r! |
Ω |
0.11579262960939 |
Real period |
R |
5.254324558063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050jo1 11550cd1 |
Quadratic twists by: 5 -11 |