Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gz |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440000 |
Modular degree for the optimal curve |
Δ |
-7489431353538750 = -1 · 2 · 3 · 54 · 7 · 1111 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-272313,54740181] |
[a1,a2,a3,a4,a6] |
Generators |
[1830:16021:8] |
Generators of the group modulo torsion |
j |
-2016939204025/6764142 |
j-invariant |
L |
8.5231232796118 |
L(r)(E,1)/r! |
Ω |
0.41928538349442 |
Real period |
R |
3.3879562505213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050de2 11550o1 |
Quadratic twists by: 5 -11 |