Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hv |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
714 |
Product of Tamagawa factors cp |
deg |
108573696 |
Modular degree for the optimal curve |
Δ |
-1.6947240569797E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8893437,-6263354536383] |
[a1,a2,a3,a4,a6] |
Generators |
[93422:28412489:1] |
Generators of the group modulo torsion |
j |
23225822386679/5059848192000000 |
j-invariant |
L |
14.401081615893 |
L(r)(E,1)/r! |
Ω |
0.017936074222165 |
Real period |
R |
1.1245260188572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410k1 127050co1 |
Quadratic twists by: 5 -11 |