Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050dn |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
119750400 |
Modular degree for the optimal curve |
Δ |
-3.0401133793154E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3843270126,91706428243648] |
[a1,a2,a3,a4,a6] |
j |
-15491003951990952121/75014100000 |
j-invariant |
L |
2.453963893022 |
L(r)(E,1)/r! |
Ω |
0.058427734671882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410cb1 127050hj1 |
Quadratic twists by: 5 -11 |