Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050gg |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
2.4363543235185E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-971088,281143281] |
[a1,a2,a3,a4,a6] |
Generators |
[1425:-43063:1] [-885:21617:1] |
Generators of the group modulo torsion |
j |
3658671062929/880165440 |
j-invariant |
L |
15.74354143292 |
L(r)(E,1)/r! |
Ω |
0.19991558750313 |
Real period |
R |
0.54688156293336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999900547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410x1 11550d1 |
Quadratic twists by: 5 -11 |