Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ej |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1176000 |
Modular degree for the optimal curve |
Δ |
-21188146366406250 = -1 · 2 · 37 · 58 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-92326,12862298] |
[a1,a2,a3,a4,a6] |
Generators |
[208:1529:1] |
Generators of the group modulo torsion |
j |
-125768785/30618 |
j-invariant |
L |
6.7377676258505 |
L(r)(E,1)/r! |
Ω |
0.36490440964207 |
Real period |
R |
1.3188909272869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050fa1 1050q1 |
Quadratic twists by: 5 -11 |