Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050el |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
195 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
-2533039207797656250 = -1 · 2 · 313 · 58 · 75 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-214701,-85631702] |
[a1,a2,a3,a4,a6] |
Generators |
[1652:62961:1] |
Generators of the group modulo torsion |
j |
-23156749680625/53591573322 |
j-invariant |
L |
6.7718269068482 |
L(r)(E,1)/r! |
Ω |
0.10361350917913 |
Real period |
R |
0.3351620609639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050fl1 127050it1 |
Quadratic twists by: 5 -11 |